Home
Class 12
MATHS
int ((x^2 -1)dx)/((x^4 + 3x^2 + 1) tan^-...

`int ((x^2 -1)dx)/((x^4 + 3x^2 + 1) tan^-1((x^2 + 1)/x)) = k logabs(tan^-1((x^2 +1)/x))` + c

A

1

B

2

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

int (e^(tan^(-1)x)dx)/((1+x^(2))^(2))

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

int dx/((1+x^2) sqrt(p^2 + q^2 (tan^-1 x)^2))

int (tan^(2)x)/(sec x -1)dx

int (sin (tan^(-1)x)dx)/(1+x^(2))

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4