(1)/(1)quad (20)(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

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

Statement -1 : If I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx and I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx , then I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C where C is an arbitrary constant. Statement -2 : A primitive of f(x) =(x^(2)-1)/(x^(4)+x^(2)+1) is (1)/(2)log((x^(2)-x+1)/(x^(2)+x+1)) .

Statement -1 : If I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx and I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx , then I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C where C is an arbitrary constant. Statement -2 : A primitive of f(x) =(x^(2)-1)/(x^(4)+x^(2)+1) is (1)/(2)log((x^(2)-x+1)/(x^(2)+x+1)) .

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

tan^(-1)((e^(2x)+1)/(e^(2x)-1))

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

Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) with respect to 'x'

Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) with respect to x:

Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) with respect to 'x'