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

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

A

`(3)/(8)((1)/(x^(2))-1)^(4//3)+C`

B

`-(3)/(8)((1)/(x^(2))-1)^(4//3)+C`

C

`(1)/(8)(1-(1)/(x^(2)))^(4//3)+1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_(1//3)^1((x-x^3)^(1//3))/(x^4)dx

(i) int ((1+x)^(3))/(sqrt(x))dx " "(ii) int((1+x)^(3))/(x^(4)) dx

int((x-4)^(3))/(x^(2))dx

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

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

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

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

int[(x)^(1//3)-(1)/((x^())^(1//3))]dx is equal to :

Evaluate: (i) int((x^3+8)(x-1))/(x^2-2x+4)\ dx (ii) int(atanx+bcotx)^2\ dx

int(x^(2))/((x^(3) +4)^(3))dx