`int x.e^(2x)(1+x)dx`

(i) int (dx)/(e^x+e^(-x)) (ii) int e^x/(e^(2x)+1) dx

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

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

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

If inte^(2x)f'(x)dx=g(x) , then int[e^(2x)f(x)+e^(2x)f'(x)]dx=

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

int e^(x)*(2-x)/((1-x)^(2))dx

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

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

int e^(x)((x-2)/((x-1)^(2)))dx is equal to (i) (e^(x))/(x-1)+C (ii) (e^(x))/((x-1)^(2))+C( iii) (2e^(x))/((x-1)^(2))+C( iv )(e^(x)-1)/(x-1)+C