# Evaluate the following iterated integrals. int_1^3int_0^{pi/2}xsin y dy dx

Evaluate the following iterated integrals.
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Maciej Morrow

${\int }_{1}^{3}x\left[-\mathrm{cos}y{\right]}_{0}^{\pi /2}dx$
$-{\int }_{1}^{3}x\left(0-1\right)dx$
${\int }_{1}^{3}xdx$
$\left[\frac{{x}^{2}}{2}{\right]}_{1}^{3}$
$=\frac{9}{2}-\frac{1}{2}$
$=\frac{8}{2}$
$=4$
$\text{therefore}$