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 ▸

Find all of the roots of unity, Zn, in the case that (Zn)^6=1


State the conditions by which a Poisson distribution model may be suitable for a given random variable X.


Let A, B and C be nxn matrices such that A=BC-CB. Show that the trace of A (denoted Tr(A)) is 0, where the trace of an nxn matrix is defined as the sum of the entries along the leading diagonal.


Express cos5x in terms of increasing powers of cosx