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

`(1)/(3)Tan^(-1)((x^(2)-1)/(3x))+c`

B

`Tan^(-1)((x^(2)-1)/(x))+c`

C

`(1)/(3)Tan^(-1)((x^(2)-1)/(x))+c`

D

`(1)/(sqrt(3))Tan^(-1)((x^(2)-1)/(sqrt(3)x))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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