Home
Class 12
MATHS
int(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=...

`int_(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=`

A

`pilog2`

B

`-pilog2`

C

`-(pi)/(2)log2`

D

`(pi)/(2)log2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|33 Videos
  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|32 Videos
  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|91 Videos
  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos
  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(oo)(logx)/(1+x^(2))dx=

Evaluate the integral int_(0)^(1) (log(1+x))/(1+x^(2))dx

The value of the integral int_(0)^(oo)(xlogx)/((1+x^(2))^(2))dx is

The value of int_(0)^(1)(8log(1+x))/(1+x^(2))dx is :

int_(0)^(oo) (x^(3))/((1+x^(2))^(9//2))dx=

int_(0)^(oo) (ln x)/(x^(2)+a^(2))dx=