`int(e^x)/(e^(2x)+4)dx`

int(e^(x)+1)/(e^(x))dx :

int(e^(x))/(e^(x)+1)dx= ……………

int(x)/(e^(x^(2)))dx

Evaluate: int(e^x)/(e^(2x)+6e^x+5)dx

Integrate the following with respect to x. (i) int(2x + 4)/(x^2 + 4x + 6) dx " " (ii) int (e^x)/(e^x - 1) dx " " (iii) int 1/(x log x) dx (iv) int(sin x + cos x)/(sin x - cos x) dx " " (v) int (cos 2x)/((sin x + cos x)^2) dx .

Evaluate int_0^1(e^x)/(1+e^(2x)) dx

Show that int_(0)^(1)(e^(x))/(1+e^(2x))dx=tan^(-1)(e)-pi/(4)

Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e^(-x))^2)dx is equal to c) int(e^(-x))/(1+e^x)dx is equal to d) int1/(sqrt(1-e^(2x)))dx is equal to COLUMN II p) x-log[1+sqrt(1-e^(2x)]+c q) log(e^x+1)-x-e^(-x)+c r) log(e^(2x)+1)-x+c s) -1/(2(e^(2x)+1))+c

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

Answer the equation: int(e^(2x)-1)/(e^(2x)+1)dx .