Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis

To solve this problem we need a formula. Integral of y2dx multiplied by pie. First we square the questions of the curve we are given (sinx)2 . Next we apply double angle formula to reduce the power so we can integrate 1/2(1-cos2x) to get 1/2x - 1/4sin2x. We would then substitute the limits into this equation to get an answer.

AM
Answered by Anthony M. Further Mathematics tutor

3440 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

When using the method of partial fractions how do you choose what type of numerator to use and how do you know how many partial fractions there are?


Why is the integral of 1/sqrt(1-x^2)dx = sin^{-1}(x)?


By Differentiating from first principles, find the gradient of the curve f(x) = x^2 at the point where x = 2


Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning