Home
Class 12
MATHS
The value of int (dx)/(x^(4)+5x^(2)+4) i...

The value of `int (dx)/(x^(4)+5x^(2)+4)` is

A

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

B

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

C

`(1/3)tan^(-1)+(1/6)tan^(-1)(x/2)+c`

D

`(1/3)tan^(-1)x-(1/6)tan^(-1)(x/2)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise CRITICAL THINKING|179 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

The value of int(dx)/(sqrt(4x-3-x^(2))) is equal to

The value of inte^(x)(x^(5)+5x^(4)+1)dx is

int(1)/(x^(4)+5x^(2)+1)dx

The value of int(5^(x))^(4)dx is

The value of int_(1)^(2) (dx)/(x(1+x^(4)) is

int (dx)/((4x+5)^2+1)=

The value of int(dx)/(x^((1)/(5))(1+x^((4)/(5)))^((1)/(2))) is