Home
Class 12
MATHS
Evaluate: int(x^2+1)/(x^4+1)dx...

Evaluate: `int(x^2+1)/(x^4+1)dx`

A

`(1)/(sqrt(2))tan^(-1)((x^(2)-1)/(sqrt(2)x))+C`

B

`(1)/(sqrt(2))tan^(-1)((1-x^(2))/(sqrt(2)x))+C`

C

`(1)/(2)tan^(-1)((x^(2)-1)/(2x))+C`

D

`(1)/(2)tan^(-1)((1-x^(2))/(2x))+C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (Only one answer)|64 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(x^(2))/(x^(4)+1)dx

Evaluate: int(x^(2)-1)/(x^(4)+x^(2)+1)dx

Evaluate: int(x^(2)+1)/(x^(4)-x^(2)+1)dx

Evaluate : int(x^(2)-1)/(x^(4)+x^(2)+1)dx

Evaluate: int(x^(2)+1)/(x^(4)+x^(2)+1)dx

Evaluate: int(x^(2)-1)/(x^(4)-7x^(2)+1) dx

Evaluate: int(x^(2))/(1-x^(4))dx

Evaluate int(1+x^2)/(1+x^4)dx

Evaluate: int(x^(2)-1)/(x^(2)+4)dx

Evaluate: int(1)/(x^(4)-1)dx