int e^(x)cos^(2)xdx

Evaluate: int e^(2x)cos^(2)xdx

Consider the integrals I_(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx,I_(2)=overset(1)underset(0)int e^(-x^(2))cos^(2)x dx,I_(3)=overset(1)underset(0)int e^(-x^(2//2))cos^(2)xdx and I_(4)=overset(1)underset(0)int e^(-x^(2//2))dx . The greatest of these integrals, is

int x^(2)cos^(2)xdx

Evaluate: int e^(x)sin^(2)xdx

Evaluate int e^(x) cos 2xdx

" (a) "int e^(x)cos xdx

int e^(-3x)cos^(3)xdx

int e^(-3x)cos^(3)xdx

int x^(2) cos^(2)xdx=

int x^(2)cos^(3)xdx