MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott +...

43

Transcript of MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott +...

Page 1: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 2: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 3: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 4: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 5: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 6: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 7: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 8: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 9: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 10: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 11: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 12: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 13: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 14: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 15: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 16: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 17: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 18: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 19: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 20: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 21: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 22: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 23: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 24: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 25: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 26: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 27: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 28: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 29: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 30: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 31: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 32: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 33: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 34: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 35: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 36: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 37: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 38: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 39: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 40: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 41: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 42: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x
Page 43: MATHS STD-12 SEM-3 GUJARATI TITLE MULAY · (10) j x — tan— (6) (7) (9) cosec2x dx = —cott + c, x klt, k kit, k e Z secx tanx dr = cosecx cot-x dx ax dr = loge a secx + c, x

RELACIÓN DE EJERCICIOS DE INTEGRALESINTEGRALES INDEFINIDAS RESUELTAS 4 18. dx x x ³ s 2 tg Sol: k x 2 tg2, k x dx x dx x x x f f ³ ³ 2 tg s 1 tg s tg 2 2 1 19. dx x x ³ n 2 g

RELACIÓN DE EJERCICIOS DE INTEGRALESINTEGRALES INDEFINIDAS RESUELTAS 4 18. dx x x ³ s 2 tg Sol: k x 2 tg2, k x dx x dx x x x f f ³ ³ 2 tg s 1 tg s tg 2 2 1 19. dx x x ³ n 2 g

& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

1 INTEGRALI UTILI lunedì 20 aprile 2020 · 2020. 4. 20. · dx =. u=sin2(x), dv =1⁄x2. − sin2(x) x |0 ∞+ . 0 ∞ 2sin(x)cos(x) x dx = = . 0 ∞ sin(2x) x dx =. u=2x. 0 ∞

1 INTEGRALI UTILI lunedì 20 aprile 2020 · 2020. 4. 20. · dx =. u=sin2(x), dv =1⁄x2. − sin2(x) x |0 ∞+ . 0 ∞ 2sin(x)cos(x) x dx = = . 0 ∞ sin(2x) x dx =. u=2x. 0 ∞

INTEGRALES INDEFINIDAS RESUELTAS · 2011-04-14 · INTEGRALES INDEFINIDAS RESUELTAS 6 29. ³ tg 2 x dx Sol: L cos2x k 2 1 ³ ³ ³ dx x K x x dx x x x dx Ln cos 2 2 1 cos 2 2sen 2

INTEGRALES INDEFINIDAS RESUELTAS · 2011-04-14 · INTEGRALES INDEFINIDAS RESUELTAS 6 29. ³ tg 2 x dx Sol: L cos2x k 2 1 ³ ³ ³ dx x K x x dx x x x dx Ln cos 2 2 1 cos 2 2sen 2

RICAMBI EBAC STEERING COMPONENTS · afp1041 dx-rh 24 x 1,5 dx 330 23,5-26,4 22 x 1,5 dx 24 x 1,5 dx 32 140 rh 1 : 10 rh rh afp1040 dx-rh 24 x 1,5 dx 360 23,5-26,4 22 x 1,5 dx 24 x

RICAMBI EBAC STEERING COMPONENTS · afp1041 dx-rh 24 x 1,5 dx 330 23,5-26,4 22 x 1,5 dx 24 x 1,5 dx 32 140 rh 1 : 10 rh rh afp1040 dx-rh 24 x 1,5 dx 360 23,5-26,4 22 x 1,5 dx 24 x

MODELO DE ANÁLISE DE RESERVATÓRIOS CILÍNDRICOS … · R O r y x Mpϕ N dN dx px dx px + Npϕ Npϕ Mpx Qpx M dM dx px dx px + Q dQ dx px dx px + Npx dx r x ωp θ px dx hp dx hl

MODELO DE ANÁLISE DE RESERVATÓRIOS CILÍNDRICOS … · R O r y x Mpϕ N dN dx px dx px + Npϕ Npϕ Mpx Qpx M dM dx px dx px + Q dQ dx px dx px + Npx dx r x ωp θ px dx hp dx hl

Dx definitivo x

Dx definitivo x

wk3sn2fall2015 - Department of Mathematics - …swheeler/math 1431/Completed...xx x x dx dx dx ddd xx x x dx dx dx dd cx c x dx dx fg f g fg f g ff += + −= − = = d 8 dx = d x dx

wk3sn2fall2015 - Department of Mathematics - …swheeler/math 1431/Completed...xx x x dx dx dx ddd xx x x dx dx dx dd cx c x dx dx fg f g fg f g ff += + −= − = = d 8 dx = d x dx

jemiliano.files.wordpress.com · Página 342 1. Calcula: a) ∫cos4 x sen x dx b) ∫2sen x cos x dx a) ∫cos 4x sen x dx = –∫cos x(–sen x) dx = – + k b)∫2 sen xcos x dx

jemiliano.files.wordpress.com · Página 342 1. Calcula: a) ∫cos4 x sen x dx b) ∫2sen x cos x dx a) ∫cos 4x sen x dx = –∫cos x(–sen x) dx = – + k b)∫2 sen xcos x dx

 · Exercise 5.3 2x + 3y = sin x Differentiating both sides with respect to x, we get — sin x dx dx dx dy cosx — 2 dx 2x + = sin y dy dx cos x Question 2: 2x + = sin y Answer

 · Exercise 5.3 2x + 3y = sin x Differentiating both sides with respect to x, we get — sin x dx dx dx dy cosx — 2 dx 2x + = sin y dy dx cos x Question 2: 2x + = sin y Answer

8.4 – EXERCÍCIOS – pg. 344 · ( ) 3 12 3 3 3 1 1 1 1 2 3 3 0 3 3 2 3 0 2 3 0 2 4 3 0 2 2 = + = + = + = = + = + + = + + ∫ ∫ ∫ ∫ x x x dx x dx x x dx s x x dx 4. 3 2 3

8.4 – EXERCÍCIOS – pg. 344 · ( ) 3 12 3 3 3 1 1 1 1 2 3 3 0 3 3 2 3 0 2 3 0 2 4 3 0 2 2 = + = + = + = = + = + + = + + ∫ ∫ ∫ ∫ x x x dx x dx x x dx s x x dx 4. 3 2 3

Engineering Pure Maths IB Rao W. O. · 2018-11-24 · PURE MATHS IB d dx tanx= sec2 x d dx secx= secxtanx d dx cotx= csc2 x d dx cscx= cscxcotx: Example 1.1.3. Find the tangent and

Engineering Pure Maths IB Rao W. O. · 2018-11-24 · PURE MATHS IB d dx tanx= sec2 x d dx secx= secxtanx d dx cotx= csc2 x d dx cscx= cscxcotx: Example 1.1.3. Find the tangent and

Integrals - Byju's · 3 2 11. 2 x x –5 4 dx x 12. x x3 3 4 dx x 13. 3 2 1 1 x x x– dx x– 14. (1 )–x xdx 15. x x x dx(3 2 3)2 16. (2 3cos )x– x e dx x 17. (2 3sin 5 )x –

Integrals - Byju's · 3 2 11. 2 x x –5 4 dx x 12. x x3 3 4 dx x 13. 3 2 1 1 x x x– dx x– 14. (1 )–x xdx 15. x x x dx(3 2 3)2 16. (2 3cos )x– x e dx x 17. (2 3sin 5 )x –

∫f ( ) con C x dx =F x ∫(k1 ⋅f x( ) +k2 ⋅g x( )) dx =k1 ⋅∫ ...

∫f ( ) con C x dx =F x ∫(k1 ⋅f x( ) +k2 ⋅g x( )) dx =k1 ⋅∫ ...

Midterm Review. Calculus Derivative relationships d(sin x)/dx = cos x d(cos x)/dx = -sin x.

Midterm Review. Calculus Derivative relationships d(sin x)/dx = cos x d(cos x)/dx = -sin x.

integration indefinite megamix student version · 2020. 9. 28. · 2 2 1 cos tan dx x x 193. 3cos 33 x dx 194. 3sec 4 x dx 195. 2sin cos3x x dx 196. 2sin cos sin x dx x x+ 197. 4

integration indefinite megamix student version · 2020. 9. 28. · 2 2 1 cos tan dx x x 193. 3cos 33 x dx 194. 3sec 4 x dx 195. 2sin cos3x x dx 196. 2sin cos sin x dx x x+ 197. 4

x 1 logx - NCERT Solutions · –1 2 1 y tan y 1 y x dy dx ... 1 x – 2 π 2 2 1 x 1 – dx ... logv xlogx 1logx 1 logx x 1 x dx dv v 1 19 x 1 logx dx dv ...

x 1 logx - NCERT Solutions · –1 2 1 y tan y 1 y x dy dx ... 1 x – 2 π 2 2 1 x 1 – dx ... logv xlogx 1logx 1 logx x 1 x dx dv v 1 19 x 1 logx dx dv ...

Schriftliche Übung Mathematik Mi 10 · 4545 5 422 55 5 4 4 6 0 x 2 dx x 2 dx x 2 dx du Substitution: u x x 2 1 dx du dx untere Grenze:u 4 4 2 2 obere Grenze:u 0 0 2 2 11 1 x2 dx

Schriftliche Übung Mathematik Mi 10 · 4545 5 422 55 5 4 4 6 0 x 2 dx x 2 dx x 2 dx du Substitution: u x x 2 1 dx du dx untere Grenze:u 4 4 2 2 obere Grenze:u 0 0 2 2 11 1 x2 dx

‘x + dx = x'.Dec04 - Faculty of Humanities, McMaster Universityrarthur/papers/x+dx=x.pdf · 2012-03-13 · ‘x + dx = x’: Leibniz’s ... o might have signified either an increment

‘x + dx = x'.Dec04 - Faculty of Humanities, McMaster Universityrarthur/papers/x+dx=x.pdf · 2012-03-13 · ‘x + dx = x’: Leibniz’s ... o might have signified either an increment

Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+

Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+