Home
Class 12
MATHS
Evaluate: int1/(xlogxlog(logx)dx...

Evaluate: `int1/(xlogxlog(logx)dx`

Text Solution

Verified by Experts

Let `t=log(log x)`
`=>frac{dt}{dx}=frac{1}{x log x}`
`x log x dt=dx`
Then, `I= int frac{dt}{t}=log abs t +C`
`=log abs(log(log x))+C`
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int(1)/(xlogxlog(logx))dx

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

Evaluate int[1/logx-1/(logx)^2]dx

int(log(logx))/(x.logx)dx=

int(dx)/(x.logx.log(logx))=

int7^(x logx)(1+logx)dx=

Evaluate: int(logx)/((1+logx)^2)\ dx

Evaluate int(logx)/((1+logx)^(2))dx .

Evaluate: int(1+logx)^2/(1+logx^(x+1)+(logx^sqrt(x))^2)dx

Evaluate int e^x(1/logx-1/(x(logx)^2)) dx