Home
Class 12
MATHS
int (2 log x)/(x[2(logx)^(2)-logx-3])dx...

`int (2 log x)/(x[2(logx)^(2)-logx-3])dx`

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(5)log|1+logx|+(3)/(5)log |2logx-3|+C`
put log `x=t and (1)/(x)dx=dt.`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Exercise 15B|40 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions I|32 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Objective Questons|57 Videos

Similar Questions

Explore conceptually related problems

int(2log x)/(x[2(log x)^(2)-logx-3])dx

int (log x)/(1+logx)^2 dx

int(dx)/(x[(logx)^(2)+4logx-1])=

int (logx)^3/(x)dx

int(logx)/(x)dx=?

int(log(x//e))/((logx)^(2))dx=

int(logx)/(x(1+logx)(2+logx))dx=

int(1+logx)/(x(2+log x)(3+logx))dx

int(logx)/(x^3)dx=