Need some help with this please with an explanation if possible. The problem is to evaluate the indefinite integral of cosx(1 + 2sinx +sin^2x) dx. Thank you in advance!
Need some help with this please with an explanation if possible. The problem is to evaluate the indefinite integral of cosx(1 + 2sinx +sin^2x) dx. Thank you in advance!
$\displaystyle \cos x (1+2\sin x + \sin^2 x) = \cos x (1+\sin x)^2$ let $\displaystyle t=1+\sin x$ then $\displaystyle t' = \cos x$ and use substitution rule.