Summary of Integration Techniques
I FTC part II:
∫ b
aF ′(x) dx = F (b) − F (a)
I Antiderivatives Table
I Substitution:
∫f (u(x)) · u′(x) dx =
∫f (u) du
I Integration by Parts:
∫u dv = u · v −
∫v du, or∫
f (x) · g ′(x) dx = f (x) · g(x) −∫
f ′(x) · g(x) dx
I Trigonometric Integrals: use a trigonometric substitution, atrigonometric identity or both.
I Partial Fractions for
∫polynomial
polynomialdx ; factor denominator,
decompose into partial fractions, integrate
I Approximate Integration
+ any combination thereof.
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