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

2803 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

A rectangular hyperbola has parametric equations x = 4t, y = 4/t , (z non 0). Points P and Q on this hyperbola have parameters t = 1/4 and t = 2. Find the equation of the line l which passes through the origin and is perpendicular to the line PQ.


Prove by induction that n! > n^2 for all n greater than or equal to 4.


Find the four roots of the equation z^4 = + 8(sqrt(3) + i), in the form z = r*e^(i*theta). Draw the roots on an argand diagram.


solve the equation 4cos^2(x) -15sin(x) = 13


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:

© 2025 by IXL Learning