Home
Class 12
MATHS
int(sqrt(x^(2)+1)[log(x^(2)+1)-2logx])/(...

`int(sqrt(x^(2)+1)[log(x^(2)+1)-2logx])/(x^(4))`dx is equal to

A

`(1)/(3)(1+(1)/(x^2))^((3)/(2))((2)/(3)+log(1+(1)/(x^2)))+c`

B

`(1)/(3)(1+(1)/(x^2))^((3)/(2))((2)/(3)-log(1+(1)/(x^2)))+c`

C

`(2)/(3)(1+(1)/(x^2))^((3)/(2))((1)/(3)+log(1+(1)/(x^2)))+c`

D

`(2)/(3)(1+(1)/(x^2))^((3)/(2))((1)/(3)-log(1+(1)/(x^2)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

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

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

Find:int(sqrt(x^(2)+1)(log(x^(2)+1)-2log x))/(x^(4))dx

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

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

Evaluate int(sqrt(x^(2)+1){log_(e)(x^(2)+1)-2logx}dx)/(x^(4)) .

∫(log(x + 1) - logx)/{x(x + 1)} dx is equal to

inte^(x)((x-1)(x-logx))/(x^(2))dx is equal to

int(sqrt(x^2+1))/(x^(4))dx" is equal to "