`int e^(-1/x)1/x^2dx=`
(A) `1/xe^(-1/x)+c`
(B) `-1/xe^(-1/x)+c`
(C) `e^(-1/x)+c`
(D) `-e^(-1/x)+c`

(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

Solution of x dy/dx+y=xe^x is (A) xy=e^x(x+1)+C (B) xy=e^x(x-1)+C (C) xy=e^x(1-x)+C (D) xy=e^y(y-1)+C

int(1)/(x^(2))e^((x-1)/(x))=......," (A) "(x)/(e^(x-1))+c," (B) "e^((x-1)/(x))+c," (C) "-e^((x)/(x-1))+c," (D) "-e^((x-1)/(x))+c

int x^2 . e^(x^3) dx = (a) e^(x^3) + C (b) e^(x^2) + C (c) 1/3 e^(x^3) + C (d) 1/3 e^(x^2) + C

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)

The area bounded by y=|e^|x|-e^(-x)| , the x-axis and x=1 is (A) int_0^1 (e^x-e^(-x))dx (B) e+e^(-1)-2 (C) e+e^(-1)+2 (D) (sqrt(e)-1/sqrt(e))^2

int e^(tan^(-1)x)(1+x+x^(2))d(cot^(-1)x) is equal to -e^(tan^(-1)x)+c(b)e^(tan^(-1)x)+c-xe^(tan^(-1)x)+c(d)xe^(tan-1)x+c

The general solution of the differential equation (d^2y)/dx^2=e^(-3x) is (A) y=9e^(-3x)+C_1x+C_2 (B) y=-3e^(-3x)+C_1x+C_2 (C) y=3e^(-3x)+C_1x+C_2 (D) y=e^(-3x)/9+C_1x+C_2

int e^(x)(1-cot x+cot^(2)x)dx=e^(x)cot x+C (b) e^(x)cot x+C(c)e^(x)cos ecx+C(d)e^(x)cos ecx+C

(e^(y)+1)cos x dx+e^(y)sin x dy =0 A) (e^(y)+1)sin x =c B) (e^(y)+1)=c tan x C) e^(y)sin x + cos x=c D) (e^(x)+1)sin y=c