Integration RulesIntegration Rules

The following slide show The following slide show contains all of the contains all of the

integration rules you need integration rules you need to know for the course. to know for the course. You are first given the You are first given the function, followed its function, followed its

integral on the next slide.integral on the next slide.

IntegrateIntegrate

sin u du

cos u C

IntegrateIntegrate

cos u du

sin u C

IntegrateIntegrate

tan u du

Cucosln

IntegrateIntegrate

cotu du

Cusinln

IntegrateIntegrate

sec u du

Cutanusecln

IntegrateIntegrate

csc u du

Cucotucscln

IntegrateIntegrate

2sec u du

Cutan

IntegrateIntegrate

2csc u du

Cucot

IntegrateIntegrate

sec tan u u du

Cusec

IntegrateIntegrate

csc cot u u du

Cucsc

IntegrateIntegrate

ue du

ue C

IntegrateIntegrate

ua du

Caaln

1 u

IntegrateIntegrate

dx

x

ln x C

IntegrateIntegrate

du

u

ln u C

IntegrateIntegrate

du

Cu

IntegrateIntegrate

nx dx

1

1

nxC

n

IntegrateIntegrate

( ) ( )f u g u du

( ) ( ) f u du g u du

IntegrateIntegrate

( ) kf x dx

dx)x(fk

IntegrateIntegrate

degree num degree denom

perform long division,

then integrate

IntegrateIntegrate

2 2du

a u

Ca

uarcsin

IntegrateIntegrate

2 2du

a u

Ca

uarctan

a

1