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
3792 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?
When and how do I use proof by induction?
Differentiate w.r.t x the expression arccos(x).
Given that y = cosh^-1 (x) , Show that y = ln(x+ sqrt(x^2-1))