Home
Class 12
MATHS
int(x^(3)-1)/(x^(3)+x) dx is equal to:...

`int(x^(3)-1)/(x^(3)+x)` dx is equal to:

A

`x-"ln"|x|+"ln"(x^(2)+1)-tan^(-1)x+C`

B

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

C

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

D

`x+"ln"sqrt(x^(2)+1)/(x^(2))+cot^(-1)x+C`

Text Solution

Verified by Experts

BD
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise COMPREHENSION|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise Exercise-3 Part I- JEE ADVANCED/ IIT-JEE PROBLEMS|8 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SINGLE AND DOUBLE VALUE INTEGER TYPE|15 Videos
  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

Similar Questions

Explore conceptually related problems

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

int(x^(3)-1)^(1//3)x^(5)dx is equal to

I=int((x+a)^(3))/(x^(3))dx is equal to

int(x^(3)-x)/(1+x^(6))dx is equal to

int x^(3) dx is equal to :

If int(x^(5))/(sqrt(1+x^(3)))dx is equal to

int(x^(3)dx)/(x^(2)+1)^(3) is equal to

int x^(1/3)(2+x^(2/3))dx" is equal to

int(x+1)/(2x^((3)/(2)))dx is equal to

int(x-3)/((x-1)^(3)).e^(x)dx is equal to