Chapter 16.1, Problem 27E

Double integrals Evaluate each double integral over the region R by converting it to an iterated integral.

27. ${\displaystyle \int {\displaystyle \underset{R}{\int }}}$s²t sin (st²) dA; R = {(s, t) : 0 ≤ s ≤ π, 0 ≤ t ≤ 1}