f'int x^(2)cos x^(3)dx

int x^(3)*cos x^(2)dx

int x^(3)*cos x^(2)dx=

Prove that underset(-a)overset(a)int f(x)dx={{:(,2underset(0)overset(a)int f(x)dx,"if f(x) is an even function"),(,0,"if f(x) is an odd function"):} and hence evaluate underset(-pi//2)overset(pi//2)int (x^(3)+x cos x)dx.

int x^(3) cos (x^(2)) dx =

(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "

(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "

int_(f(x)sin xdx)=-f(x)cos x+int3x^(2)cos xdx then f(x)=

int x^(2)e^(x^(3))cos x^(3)dx

(i) int x^3 sin x^2 dx (ii) int x^3 cos x^2 dx

If f (x) = cos x - cos ^(2) x + cos ^(3) x -... to oo, then int f (x) dx equals to :