Home
Class 12
MATHS
The value of int(e^(x)((1+x^(2))tan^(-1)...

The value of `int(e^(x)((1+x^(2))tan^(-1)x+1))/(x^(2)+1)dx` is equal to

A

`(tan^(-1)e^(x))^(2)`

B

`log (cot^(-1) e^(x))`

C

`log (tan^(-1) e^(x))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to

inte^(tan^(-1)x)(1+x/(1+x^(2)))dx is equal to

int1/(1+e^(x))dx is equal to

The value of fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx is equal to

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

The value of int_0^(1) tan^(-1) ((2x-1)/(1+x-x^(2))) dx is

The value of int((x^(2)+1)/(x^(2)-1))dx is

int sqrt(1+x^(2))dx is equal to

The value of int e^(x)(2-x^(2))/((1-x)sqrt(1-x^(2))) dx =

int (x-1)e^(-x) dx is equal to :