Home
Class 12
MATHS
Integrate the following functions: sin 3...

Integrate the following functions: sin 3x cos4x

Text Solution

Verified by Experts

`sin 3x cos 4x = cos 4x sin 3x
=1/2[sin(4x+3x)-sin(4x-3x)]
=1/2[sin7x-sinx]
therefore `int sin3x cos4x dx`
=1/2[-cos(7x)/7+cosx]+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 3x

Integrate the following functions: sin^4x

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: sin 4x sin8x

Integrate the following functions: cos2x cos4x cos6x

Integrate the following functions: 1/(sinx cos^3x)

Integrate the following functions: tan^4x

Integrate the following functions: sinx sin2x sin3x

Integrate the following functions sin(ax+b) cos(ax+b).