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.