Evaluate: `int(tantheta+tan^3theta)/(1+tan^3theta)d theta`

Evaluate: int sqrt(tan theta d theta)

Evaluate: int sqrt(tan theta)d theta

int (tan theta d theta) / (1-sin theta)

int(sec^(2)theta d theta)/(tan^(3)theta+4tan theta)

tantheta+tan2theta=tan3theta

int tan^(5)theta d theta=

Prove that (sin theta + sin 3theta+ sin 5 theta + sin 7theta)/(cos theta + cos 3theta + cos 5 theta + cos 7theta) = (tan 3theta + tan theta)/(1 - tan 3theta tan theta) .

Solve: tan3theta+tantheta=0

int(sec theta)/(sec theta-tan theta)d theta

Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 cos 2theta cos 4theta