Home
Class 12
MATHS
int(e^x)/((1+e^x)(2+e^x))dx...

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

A

(a) `logabs((1+e^(x))(2+e^(x)))+c`

B

(b) `logabs((1+e^(x))/(2+e^(x)))+c`

C

(c) `logabs((1+e^(x))sqrt(2+e^(x)))+c`

D

(d) `logabs(sqrt(1+e^(x))(2+e^(x)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

int(e^x-e^-x)/(e^x+e^-x).dx

If I=int(e^x)/(e^(4x)+e^(2x)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

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

int(dx)/(e^(2x)-3e^(x))=

Integrate the following w.r.t. x: int frac{e^x }{(1+ e^x )(2 + e^x)} dx

int(e^(x)(1+x))/(sin (xe^(x)))dx