Home
Class 12
MATHS
int(dx)/(x(1+4x^3+3x^6))...

`int(dx)/(x(1+4x^3+3x^6))`

A

`(1)/(3)log|x^(3)|+(1)/(6)log|1+x^(3)|+C`

B

`(1)/(3)log|x^(3)|+(1)/(3)log|1+x^(3)|+C`

C

`(1)/(3)log|x^(3)|+(1)/(6)log|1+x^(3)|-(1)/(2)log|1+3x^(3)|+C`

D

`log|x^(3)+1|+C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (Only one answer)|64 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

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

int(3x^(2))/((1+x^(6)))dx

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

int(dx)/(x^(5/6)(1+5x^(1/3))sqrt(1+4x^(1/3)))

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

int(dx)/((x+1)^((6)/(5))(x-3)^((4)/(5)))=

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

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

int (x^(1/3))/((1+x^(4/3))^(9))dx

int (x^(1/3))/((1+x^(4/3))^(9))dx