Home
Class 12
MATHS
The value of int0^(oo)(xtan^(-1)x)/((1+x...

The value of `int_0^(oo)(xtan^(-1)x)/((1+x^2)^2)` dx is

A

`pi//2`

B

`pi//3`

C

`pi//4`

D

`pi//8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (2)(FILL IN THE BLANKS)|1 Videos
  • INTEGRATION

    ML KHANNA|Exercise SELF ASSESSMENT TESET|10 Videos
  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|1 Videos
  • INEQUALITIES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos
  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(oo)(tan^(-1)x)/(1+x^(2))dx

int(xtan^-1x)/(1+x^2)^(3/2)dx

Find the value of int_(0)^(oo)(xlogx)/((1+x^(2))^(2))dx .

int_(0)^(sqrt3)(xtan^(-1)x)/((1+x^(2))^(3//2))dx

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

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

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

The value of int_0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

The value of int_(0)^(oo)(logx)/(a^(2)+x^(2))dx is