Evaluate: `intcostheta/(5+4costheta)^2d theta`

Evaluate: int(costheta)(d theta)/((2+sintheta)(3+4sintheta)\

Evaluate: intcos2thetaln((costheta+sintheta)/(costheta-sin theta))d theta

Evaluate: int(1+costheta)/(theta+sintheta)d theta

Evaluate: intsin^3(theta/2)/(cos(theta/2)sqrt(cos^3theta+cos^2theta+costheta))d theta

Evaluate: int_0^(pi//2)sqrt(costheta)sin^3theta d theta

int_0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a) 1/3 (b) 8/3 (c) 3/2 (d) None of these

Evaluate: int_0^(pi//2)(costheta)/((1+sintheta)(2+sintheta)) d theta

lim_(trarr(pi/2)^(-))int_(0)^(t) tanthetasqrt(costheta)ln(costheta)d theta is equal to :

If 5 tan theta = 4 , find the value of : (8 sin theta-3costheta)/(8 sin theta+2costheta)

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