Home
Class 12
MATHS
int[(sqrt(x^2+1)(ln(x^2+1)-2lnx)))/(x^4)...

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

Text Solution

Verified by Experts

`(2(x^(2)+1)sqrt(x^(2)+1))/(9x^(3))[1-3/2"ln"(1+1/x^(2))]+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise PART-II JEE MAIN|8 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((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)(log(x^(2)+1)-2log x))/(x^(4))dx

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

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

int sqrt(x)(log x)^(2)dx

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

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