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

Related Further Mathematics A Level answers

All answers ▸

Show that the square of any odd integer is of the form (8k+1)


Convert the general complex number z=x+iy to modulus-argument form.


A block of mass 50kg resting on a rough surface with a coefficient of friction equal to 1/3. Find the maximum angle at which the surface can be inclined to the horizontal without the block slipping. Give your answer to 3 significant figures


The point D has polar coordinates ( 6, 3π/4). Find the Cartesian coordinates of D.