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

Integrate int(x*e^(x))/((1+x)^(2))dx .

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

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

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

Find (i) inte^x(t a n^(-1)x+1/(1+x^2))dx (ii) int((x^2+1)e^x)/((1+x)^2))dx

If int_(0)^(1) (e^(x))/( 1+x) dx = k , then int_(0)^(1) (e^(x))/( (1+x)^(2)) dx is equal to

Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e^(-x))^2)dx is equal to c) int(e^(-x))/(1+e^x)dx is equal to d) int1/(sqrt(1-e^(2x)))dx is equal to COLUMN II p) x-log[1+sqrt(1-e^(2x)]+c q) log(e^x+1)-x-e^(-x)+c r) log(e^(2x)+1)-x+c s) -1/(2(e^(2x)+1))+c

Statement 1: int(xe^(x)dx)/((1+x)^(2))=(e^(x))/(x+1)+C Statement 2: inte^(x)(f(x)+f'(x))dx=e^(x)f(x)+C

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

Let A=int_(0)^(1)(e^(x))/(x+1) dx then answer the following questions in terms of A. Q. int_(0)^(1)(x^(2)e^(x))/(x+1)dx equals