Fresnel?

[chrono2501]

Ok so I've spent the past 2 hours finishing up some stupid webwork stuff (due later today) and I get stuck on this question...

Find the volume of the solid obtained by rotating the region bounded by the curve y=sin(10x^2) and the x-axis, 0 <= x <= sqrt(pi/10), about the y-axis

Comments

[angelus_reborn]

sin^2(10x^2)
ewww.
As a general rule, nobody likes integrating functions of x that are functions of x (the standard example's usually e^(x^2).)
Usually, if the inside shit is a polynomial of x, people end up converting them into an infinite series, then integrating those (cause they're suually just powers of x, too) and then DESPERATELY trying to take the integrated series and turn it back into a function.
This usually fails pathetically.

:(:(