`(xe^x)/(1+x)^2dx=` (A) `e^x/(1+x)` (B) `e^x/(1+x)^2` (C) `e^xlog(1+x)` (D) none of these

The value of (1-x^4)/(1+x)+(1+x^2)/xxx1/(x(1-x)) is (a) 1 (b) 1-x^2 (c) 1/x (d) 1+x (e) None of these

d/(dx)[e^xlog(1+x^2)]=

Integrate wr.t x,xe^(x)(x+1)^(-2)(A)e^(x)(x+1)^(-1)+C(B)e^(x)(x+1)^(-2)(C)xe^(x)(x+1)-1+C(D) None

If int_0^1 xe^(x^2) dx=k int_0^1 e^(x^2) dx , then (A) kgt1 (B) 0ltklt1 (C) k=1 (D) none of these

int(e^(x))/(sqrt(x))(1+2x)dx(A)sqrt(x)e^(x)+x(B)(e^(x))/(sqrt(x))+c (C) 2e^(x)sqrt(x)+c(D) none

int(1)/(1+e^(x))dx= (a) log(1+e^(x)) (b) log((1+e^(x))/(e^(x))) (c) log(1+e^(-x)) (d) -log(e^(-x)+1)

If f(x)= e^(coscos^-1x^2+tancot^-1 x^2), then minimum value of f(x) is (A) e (B) e^2 (C) e^(2/3 (D) none of these

int((x^(2)+1))/((x+1)^(2))dx is equal to ((x-1)/(x+1))e^(x)+c(b)e^(x)((x+1)/(x-1))+ce^(x)(x+1)(x-1)+c(d) none of these

(e^(x)(1+x))/(sin (xe^(x)))