Home
Class 12
MATHS
Prove that int(0)^(1)log((x)/(x-1))dx=in...

Prove that `int_(0)^(1)log((x)/(x-1))dx=int_(0)^(1)log((x-1)/(x))dx`.
Find the value of `int_(0)^(1)log((x)/(x-1))dx`

Text Solution

Verified by Experts

The correct Answer is:
`:.I=0`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.1|22 Videos

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.2|30 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

Similar Questions

Explore conceptually related problems

Show that int_(0)^(1)log((1-x)/(x))dx=0

The value of int_(0)^(1)(8log(1+x))/(1+x^(2))dx is

Evaluate int_(-1)^(1)log((3-x)/(3+x))dx .

Find the value of int_0^1{(sin^(-1)x)}dx

Evaluate int_(1)^(2)(log(x+1))/(x+1)dx

Find the value of int_0^1{(sin^(-1)x)//x}dx

int(1)/(x)ln((x)/(e^(x)))dx=

Find the value of int_(0)^(1)root(3)(2x(3)-3x^(2)-x+1)dx .

Evaluate int_(-1)^(1) log ((2-x)/( 2+x)) dx

The value of int_(0)^(1) x ( 1-x ) ^(99) dx is