Home
Class 12
MATHS
int(3x^2)/(1+x^6)dx...

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

A

`sin^(-1)x^(3)+C`

B

`cos^(-1)x^(3)+C`

C

`tan^(-1)x^(3)+C`

D

`cot^(-1)x^(3)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Putting `x^(3)=t and3x^(2)dx=dt`, we get :
`I=int(dt)/((1+t^(2)))=tan^(-1)t+C=tan^(-1)x^(3)+C`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise EXERCISE 13A SHORT ANSWER QUESTIONS|92 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

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

(i) int (3x^2)/(x^6+1) dx (ii) int (3x)/(1+2x^4) dx

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

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

int(3x-2)/((x+1))dx

int (3x^2+6) dx

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

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

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

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