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Flashcards in Methods of Integration Deck (5)
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1

Integration by substitution

u=
du/dx =

2

Integration by parts

The integral of uv' = uv - integral of u'v
Log Algebra Trig Exponential

3

Integrals of sin(ax)cos(bx)

Use formulas for sin(a+/-b) and cos(a+/- b)

4

Integrals of sin^n(x)cos^n(x)

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

Trigonometric Substitution

Sin if minus, tan if +
use sin^2 + cos^2=1 and Sec^2 =tan^2 +1
x = a/btanU
Draw right angle triangle