`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_(0)^( pi/2)cos x*e^(sin x)dx=.........],[[" (A) "e+1," (B) "e-1," (C) "e," (D) "-e]]

int((x^(2)-x+1)/(x^(2)+1))e^(cot-1)xdx=A(x)e^(cot-1)x+c,A=

[" 5."lim_(x rarr0^(-(1)/(x)))" is : "],[[" (A) "e^((1)/(c))," (B) "e^(e)," (C) "e^(2)]]

The integral int(1+x-(1)/(x))e^(x+(1)/(x))dx is equal to (1)(x-1)e^(x+(1)/(x))+C(2)xe^(x+(1)/(x))+C(3)(x+1)e^(x+(1)/(x))+C(2)-xe^(x+(1)/(x))+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)

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

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(x+3)/((x+4)^(2))e^(x)dx=(e^(x))/(x+4)+C(b)(e^(x))/(x+3)+C(c)(1)/((x+4)^(2))+C(d)(e^(x))/((x+4)^(2))+C

xe^(-y)dx+ydy=0 A) 2x^(2)+(y-1)e^(y)=c B) (x^(2))/(2)+(y-1)e^(y)=c C) (y^(2))/(2)+(x-1)e^(x)=c D) 2y^(2)+(x-1)e^(x)=0

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