Home
Class 12
MATHS
int(0)^(1)xlog(1+2x)dx...

`int_(0)^(1)xlog(1+2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(8)log3`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|58 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( MULTIPLE CHOICE TYPE QUESTIONS )|6 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise VERY SHORT QUESTIONS|24 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(1) xlog(1+x)dx and hence show that, (1)/(1xx3)-(1)/(2xx4)+(1)/(3xx5)-(1)/(4xx6)+..=(1)/(4)

int_(0)^(1) x logx dx

int_(0)^(1)x(1-x)^(n)dx

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

int_(0)^(1)x^(2)e^(-x)dx

int_(0)^(1)cos^(-1)x dx

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

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -

int_(0)^(1)log((1)/(x)-1)dx

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