1. ## Trig Integration

How do u integrate:

$
\int \tan^5x\cos^3x dx
$

$
\int \sin^4x\cot^7x dx
$

I can't seem to find the right combinations of identities to sub. in, in order to solve.

2. $\displaystyle\int\tan^5x\cos^3xdx=\int\frac{\sin^5 x}{\cos^2x}dx=\int\frac{\sin^4x}{\cos^2x}\sin xdx=\int\frac{(1-\cos^2x)^2}{\cos^2x}\sin xdx$
and use the substitution $\cos x=u$

Do the same way with the other integrale.