Evaluate `int sin^3thetacos^4theta d theta`

int (sin theta + cos theta) * d theta

int(sin^(3)theta)/(sqrt(cos theta))d theta

Evaluate sin theta.cos theta , if sin theta + cos theta= sqrt2 .

int sin^4 theta d theta

int_0^(pi/4) (2sinthetacostheta)/(sin^4theta+cos^4theta)d theta

What is the value of sin^6theta+cos^6theta+3sin^2thetacos^2theta-1 ?

int sin ^ (3) 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)) .

int(2sin theta cos theta)/(sin^(4)theta+cos^(4)theta)d theta

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta