Home
Class 12
MATHS
intcot^4thetacosec^4theta d theta...

`intcot^4thetacosec^4theta d theta`

Text Solution

Verified by Experts

`intcot^4thetacosec^4theta d theta`
`intcot^4theta(1+cot^2theta).cosec^4theta d theta`
[Put `cottheta=t`
Then`cosec^2thetad theta=-dt`
= `intt^4.(1+t^2).(-dt)=-int(t^4+t^6)dt`
=`-{1/5t^5+1/7t^7}+C`
=`-{1/5cot^5theta+1/7cot^7theta}+C`
=`-1/5cot^5theta-1/7cot^7theta+C`
Promotional Banner

Topper's Solved these Questions

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

intcottheta cosec^7theta d theta

inttan^5theta sec^4theta d theta

intcot^4thetad theta

Evaluate: int_(pi//4)^(pi//2)costheta.cosec^2theta d theta

intcot^6theta d theta

inttan^3theta d theta

inttan^5theta d theta

Integrate the following int(sectheta tantheta)/(sec^2theta+4) d theta

Evaluate the following integrals int(costheta)/(3-sin^2theta) d theta

intsec^11theta tantheta d theta