Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
6 Cards in this Set
- Front
- Back
|
antiderivative (sin^m x cos^n x) cos is odd sin is even
|
save one cos factor and use cos^2 x = 1 - sin^2 x
substitute u= sinx |
|
|
antiderivative (sin^m x cos^n x) sin is odd cos is even |
save one sin factor and use cos^2 x = 1 - sin^2 x sin^2 x = 1- cos^2 x
substitute u = cosx |
|
|
antiderivative (sin^m x cos^n x) sin is odd cos is odd |
either a factor of sin or cos can be saved and cos^2 x = 1 - sin^2 x can be used |
|
|
antiderivative (sin^m x cos^n x) sin is even cos is even |
use half-angle identities: sin^2x = 1/2 (1-cos2x) or cos^2x = 1/2 (1+cos2x)
it might be useful to use the identity: sinxcosx = 1/2 (sin2x) |
|
|
antiderivative (tan^m x sec^n x) sec is even
|
save a factor of sec^2x use sec^2x = 1 + tan^2 x
u = tanx |
|
|
antiderivative (tan^m x sec^n x) tan is odd |
save a factor of secxtanx use sec^2x = 1 + tan^2 x tan^2x = sec^2x - 1
u = secx |
