Hi guys. I can't think of a way to start this integration - can someone set me on the proper path? Thanks!

What I have so far:

find the area of the surface obtained by rotating the curve around the x-axis

y=sin(pix), 0≤x≤1

dy/dx = picos(pix)

1 + (dy/dx)^2 = 1 + (pi^2)cos^2(pix)

integral 2(pi)sin(pix)√[1 + (pi^2)cos^2(pix)] = ?