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

3214 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

When and how do I use proof by induction?


Solve the equation 3sinh(2x) = 13 - 3e^(2x), answering in the form 0.5ln(k). where k is an integer


Given that y = arcsinh(x), show that y=ln(x+ sqrt(x^2 + 1) )


How do you find the derivative of arcsinx?


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