01 integral tak tentu
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Transcript of 01 integral tak tentu
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f(x)
f’(x)
diferensiasiintegral
APA ITU INTEGRAL?
• Integral merupakan operasi kebalikan dari diferensiasi
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∫…dx
integral dari … terhadap x
NOTASI INTEGRAL
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Integral Tak Tentu
Secara umum dinyatakan dengan:
cxfdxxf )()('
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Sifat integral tak tentu
dxxgdxxfdxxgxf )()()()(
cxdx
dxxfcdxxfc
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11
1
nuntukcn
xdxx
nn
cxdxx
ln1
cea
dxe axax 1
RUMUS-RUMUS DASARINTEGRAL TAK TENTU
1.
2.
3.
4.
cedxe xx
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Contoh soal (1):
1.
2.
3.
4.
5.
cxdxx
ln55
dxx 4
dxx
5
cxdxx 34
3
1
cxxdx 323 xdx23
dx2
1
dxx31
cxdx2
1
2
1
cxdxx
23 2
11
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Contoh soal (2):
6.
7.
8.
9.
10. dxxx 1
dxxx )103( 2
dxxxx 1264 23
dxxx23
cxxdxxxdxxx 232
2
1
3
11
cxx
dxxx
23
2 3
233
cxxxxdxxxx 2343 212264
cxxdxxx 232 5)103(
dxx3 2
3
4cxdxx 3 53 2
5
4
3
4
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Contoh soal (3):
11.
12.
13.
dxxx 31 cxxxdxxx 333
131 2
dxx
x 1cxxdx
xxdx
x
x
2
3
211 23
dxe x33 cedxe xx 333