Home
Class 12
MATHS
Integrate the following functions: (sin^...

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

Text Solution

Verified by Experts

`(sin^3 x+cos^3 x)/(sin^2 xcos^2x) = sinx/cos^2x + cosx/sin^2x`
= secx tanx+cosecx cotx
therefore` int (sin^3x+cos^3x)/(sin^2x cos^2x) dx`
=secx-cosecx+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: sin^3 x cos^3 x

Integrate the following functions x sin^-1x

Integrate the following functions x sin 3x

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

Integrate the following functions: sin 3x cos4x

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

Integrate the following functions (sin^-1x)^2

Integrate the following functions: sin^2(2x+5)

Integrate the following functions: cos^4(2x)

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