`int2/((e^x+e^(-x))^2)\ dx` `( e^(-x))/(e^x+e^(-x))+C` (b) `-1/(e^x+e^(-x))+C` (c) `(-1)/((e^x+1)^2)+C` (d) `1/(e^x-e^(-x))+C`

int2/((e^x+e^(-x))^2)\ dx (a) ( e^(-x))/(e^x+e^(-x))+C (b) -1/(e^x+e^(-x))+C (c) (-1)/((e^x+1)^2)+C (d) 1/(e^x-e^(-x))+C

int(2)/((e^(x)+e^(-x))^(2))dx(e^(-x))/(e^(x)+e^(-x))+C(b)-(1)/(e^(x)+e^(-x))+C(c)(-1)/((e^(x)+1)^(2))+C(d)(1)/(e^(x)-e^(-x))+C

Choose the correct answer int x^(2)e^(x^(3))dx equals (A) (1)/(3)e^(x^(3))+C(B)(1)/(3)e^(x^(2))+C(C)(1)/(2)e^(x^(3))+C(D)(1)/(2)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)

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 (e^(x)-e^(-x))/(e^(2x)+e^(-2x))dx=A log|(e^(x)+e^(-x)+a)/(e^(x)+e^(-x)-a)|+c then (A,a) =

The general solution of the differential equation (dy)/(dx) = e^(y) (e^(x) + e^(-x) + 2x) is a) e^(-y) = e^(x) - e^(-x) + x^(2) + C b) e^(-y) = e^(-x) - e^(x) - x^(2) + C c) e^(-y) = -e^(-x) - e^(x) - x^(2) + C d) e^(y) = e^(-x) + e^(x) + x^(2) + C

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

If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) (c) -e^x/((1+e^x)^2) (d) (-1)/((1+e^x)^3)