Home
Class 12
MATHS
Integrate the following functions x sin ...

Integrate the following functions `x sin 3x`

Text Solution

Verified by Experts

`int x sin 3x dx`
=`x(-cos(3x)/3) - int 1xx cos(3x)/3 dx`
=`-(x cos 3x)/3 + 1/3 ((sin(3x)/3) +c`
=`-1/3 x cos 3x +1/9 sin 3x +c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |134 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions x sin^-1x

Integrate the following functions: sin 3x cos4x

Integrate the following functions: sin^4x

Integrate the following functions x logx

Integrate the following functions: sinx sin2x sin3x

Integrate the following functions: sin^3 x cos^3 x

Integrate the following functions: (sin^3x + cos^3x)/(sin^2x cos^2x)

Integrate the following functions (x^3 sin(tan^-1 x^4))/(1+x^8)

Integrate the following functions: sin 4x sin8x

Integrate the following functions: sin^3(2x+1)