Here's something that will help you out in the future:
If we have an integral in the form of , and
n is odd :
m is odd :
- split off a factor of
- apply the identity
- apply the substitution
m is even and n is even :
- split off a factor of
- apply the identity
- apply the substitution
- use and to lower the powers of cosine and sine.
If we have an integral in the form of , and
n is even :
m is odd :
- split off a factor of
- apply the identity
- apply the substitution
m is even and n is odd :
- split off a factor of
- apply the identity
- apply the substitution
- use to get the equation ins terms of secant. Then apply reduction formulas.
If we have an integral in the form of , and
n is even :
m is odd :
- split off a factor of
- apply the identity
- apply the substitution
m is even and n is odd :
- split off a factor of
- apply the identity
- apply the substitution
- use to get the equation ins terms of cosecant. Then apply reduction formulas.
Hope this will help you out in future problems!!!