Hey jamesrb.
You may want to look at a reduction formula. You could expand everything out to get things in terms of sines and cosines (even squared ones) but there is a relationship for integrating powers of trig functions.
This problem coincides with my Calculus II course chapter on trigonometric integrals. I am unsure if I should be using the reduction formula for cosine or perhaps rewriting cosine as an even power and using the identity and then u substitution.
Hey jamesrb.
You may want to look at a reduction formula. You could expand everything out to get things in terms of sines and cosines (even squared ones) but there is a relationship for integrating powers of trig functions.
Generally speaking, any time you have an odd power of cos(x) or sin(x), you can factor out one, leaving an even power. Then use " " or " to change to the "other" function, keeping that first term you factored out for the derivative:
Now, let u= sin(x) so that du= cos(x)dx and the integral becomes .
If you have only even powers of sine and/or cosine, then you will need and .