Evaluate `int sinthetacostheta d theta`

int (sin theta + cos theta) * d theta

Evaluate: int sqrt(tan theta d theta)

Evaluate: int sqrt(tan theta)d theta

int sin^4 theta d theta

Evaluate int((2 sin theta + sin 2 theta)d theta)/((cos theta-1)sqrt(cos theta + cos^(2) theta + cos^(3) theta)) .

Evaluate: int cos2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta

int tan^(5)theta d theta=

int sin ^ (3) theta d theta

If costheta= (4)/(5) then find the value of (sinthetacostheta+tan^(2)theta) .