Set up a double integral in polar coordinates to compute $\displaystyle \int\int_{{R}}{y}\ {d}{A}$, where R is the region bounded by the circle $\displaystyle {r}={25}{\sin{{\left(\theta\right)}}}$. Type theta to enter $\displaystyle \theta$.

$\displaystyle \int$		$\displaystyle \int$		$\displaystyle \quad{r}\ {d}{r}\ {d}\theta$

Complete the integration. Enter an exact answer involving $\displaystyle \pi$. Type pi to enter $\displaystyle \pi$.

Preview Question 6 Part 6 of 6  
Hint: Make use of the power reduction formula: $\displaystyle {{\sin}^{{2}}{\left({x}\right)}}=\frac{{1}}{{2}}{\left({1}-{\cos{{\left({2}{x}\right)}}}\right)}$