(i) `int_-8^8 (sin^93 x+x^295) dx`
(ii) `int_-1^1 sin^5x cos^4x dx`
(iii) `int_(-pi//4)^(pi//4) x^3 sin^4 x dx`
(iv) `int_-1^1 x^17 cos^4 x dx`

int_(-pi//4)^(pi//4) e^(-x)sin x" dx" is

int_(-1)^1 sin^5 x cos^4 x dx is :

int_(-pi//4)^(pi//4) dx/(1-sin x)=

int_(-pi//4)^(pi//4) dx/(1+sin x)=

int_(pi//4)^(pi//3)(sec x)/(sin x)dx =

int_0^pi sin^4x cos^4x dx

int_(pi/4)^(3 pi/4)(x)/(1+sin x)dx is

int_(pi//4)^(3pi//4)(dx)/(1+cos x)=

(i) int_0^(pi//2) sin^2 dx =pi/4 (ii) int_0^(pi//2) cos^2x dx=pi/4 (iii) int_(-pi//4)^(pi//4) sin^2 x dx=pi/4-1/2 (iv) int_(-pi//4)^(pi//4) cos^2x dx=pi/4+1/2