`int(e^x+1)^2e^xdx`

int(e^x+1)^2\ e^x\ dx

int_0^1 x^2e^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(e^(2x)+2e^x-e^(-x)-1)e^(e^x+e^(-x))dx=g(x)e^(e^x+e^(-x)) , then find g(0) .

Evaluate: int(e^(2x)-2e^x)/(e^(2x)+1)dx

int(e^x+1/(e^x))^2dx

If int_0^1e^-x^2dx=a , then find the value of int_0^1x^2e^-x^2dx in terms of a .

int (e^x +2x)/(e^x+x^2) dx

int( x-1)e^(-x) dx is equal to : a) ( x- 2)e^(x) + C b) x e^(-x) + C c) - x e^(x) + C d) ( x+1)e^(-x) +C

int(e^x)/((1+e^x)(2+e^x))dx