MATH 2D Prep: Integration Techniques Facts to Know

MATH 2D Prep: Integration Techniques

Facts to Know:

1. Substitution Rule:

b

? f (g(x))g (x)dx =

a

? u=

du =

2. Integration by part:

b

? f (x)g (x)dx =

a

? u=

du =

v=

dv =

Examples:

/4

1. Evaluate

cos2(x) sin(x)dx

0

u=

du =

,

1

2. Evaluate x2exdx

0

u=

du =

v=

dv =

,

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