Methods of Integration Flashcards

1
Q

Integration by substitution

A

u=

du/dx =

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Integration by parts

A

The integral of uv’ = uv - integral of u’v

Log Algebra Trig Exponential

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Integrals of sin(ax)cos(bx)

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly