Methods of Integration Flashcards
1
Q
Integration by substitution
A
u=
du/dx =
2
Q
Integration by parts
A
The integral of uv’ = uv - integral of u’v
Log Algebra Trig Exponential
3
Q
Integrals of sin(ax)cos(bx)
A
Use formulas for sin(a+/-b) and cos(a+/- b)
4
Q
Integrals of sin^n(x)cos^n(x)
A
If one or both powers are odd use substitution/inspection - sin^2 + cos^2 =1
If both powers are even, us the double angle formulas
5
Q
Trigonometric Substitution
A
Sin if minus, tan if +
use sin^2 + cos^2=1 and Sec^2 =tan^2 +1
x = a/btanU
Draw right angle triangle