Home
Class 12
MATHS
int(-2)^(2) [cot^(-1) ((x-1)/(x+1)) + co...

`int_(-2)^(2) [cot^(-1) ((x-1)/(x+1)) + cot^(-1) ((x+1)/(x-1))] dx =`

A

`(5pi)/2`

B

`pi`

C

`pi/2`

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int_(-3)^(3) cot^(-1)x dx=

int_(-2)^(1) cot^(-1) (1/x) dx =

int_(-3)^(3) cot^(-1)x dx =

int_(1/2)^(2)1/x cosec^(101)(x-1/x) dx =

int_(-1/2)^(1/2) [sin^(-1)(3x-4x^(3)) - cos^(-1) (4x^(3)-3x)] dx =

int cos[2 cot^(-1) sqrt((1-x)/(1+x))] dx =

int_(-1)^(1) x^(3) ((1-x^(2)) dx

int_(1)^(3)(x-1)(x-2)(x-3)dx=