Home
Class 12
MATHS
Integrate the following functions: sin 4...

Integrate the following functions: sin 4x sin8x

Text Solution

Verified by Experts

sin 4x sin 8x
`=1/2[cos(8x-4x)-cos(8x+4x)]`
=1/2[cos 4x- cos12x]
therefore` int sin4x sin 8x dx`
=`1/2[(sin 4x)/4-sin(12x)/(12)]+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: sinx sin2x sin3x

Integrate the following functions x sin 3x

Integrate the following functions: tan^4x

Integrate the following functions: sin 3x cos4x

Integrate the following functions sinx sin(cosx).

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

Integrate the following functions x sin^-1x

Integrate the following functions x log2x

Integrate the following functions x logx

Integrate the following functions: (cosx-sinx)/(1+sin(2x)