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

`int(x^(2)+1)/(x^(4)-x^(2)+1)dx=`

A

`tan^(-1)[(x)/(x^(2)-1)]+c`

B

`tan^(-1)[(x^(2)-1)/(x)]+c`

C

`-tan^(-1)[(x^(2)-1)/(x)]+c`

D

`-cot^(-1)[(x^(2)-1)/(x)]+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

int(x^(2)-3x+1)/(x^(4)-x^(2)+1)dx

int(x^(2)-1)/(x^(4)+3x^(2)+1)dx(x>0)

int((x^(2)+1))/(x^(4)+7x^(2)+1)dx=

Evaluate: int(x^(2)-3x+1)/(x^(4)+x^(2)+1)dx

int((x-1)^(2))/(x^(4)+x^(2)+1)dx=(1)/(sqrt(a))tan^(-1)((x^(2)-1)/(x sqrt(3)))-(b)/(sqrt(a))tan^(-1)((2x^(2)+1)/(3))+ then a^(2)+b^(2) is

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