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.

Related Further Mathematics A Level answers

All answers ▸

Prove by induction that 1^2 + 2^2 + 3^2 + . . . + n^2 = (1/6)n(n+1)(2n+1)


Write the Maclaurin’s series for f(x)=sin(3x)+e^x up to the third order


Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.


Find the displacement function if the acceleration function is a=2t+5. Assume a zero initial condition of displacement and v=8 when t=1.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences