Home
Class 12
MATHS
Integrate the function xlog2x...

Integrate the function `xlog2x`

Text Solution

Verified by Experts

Let `I=int xlog2xdx`
Taking `log2x` as first function and `x` as second function and integrating by parts, we obtain
`I=log2x intxdx-int{(d/dxlog2x)intxdx}dx`
=`log2x*x^2/2-int2/(2x)*(x^2)/2dt`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.10|10 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.7|14 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.9|22 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions x(log x)^(2)

Integrate the functions x log x

Integrate the functions ((log x)^(2))/(x)

Integrate the functions ((1+log x)^(2))/(x)

Integrate the functions x^(2)log x

Integrate the functions (cos2x)/((cos x+sin x)^(2))

Integrate the functions (cos2x+2sin^(2)x)/(cos^(2)x)

Integrate the functions x^(2)(x^(2))/((2+3x^(3))^(3))

Integrate the functions x sinx

Integrate the functions (2x)/(1+x^(2))