Chapter 14.2, Problem 49E

Evaluating an Iterated Integral In Exercises 45–50, sketch the region of integration. Then evaluate the iterated integral, switching the order of integration if necessary.

${\displaystyle \underset{0}{\overset{1}{\int }}{\displaystyle \underset{0}{\overset{\arccos y}{\int }}\sin x\sqrt{1+{\sin }^{2}x}dx}}dy$

Evaluating an Iterated Integral In Exercises 45–50, sketch the region of integration. Then evaluate the iterated integral, switching the order of integration if necessary.

    ${\displaystyle \underset{0}{\overset{1}{\int }}{\displaystyle \underset{0}{\overset{\arccos y}{\int }}\sin x\sqrt{1+{\sin }^{2}x}dx}}dy$