Quick Check $-1$

Quick Check $-1$

Inte

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This q

This q

Use any method to evaluate the integral.

${\displaystyle \underset{0}{\overset{5\frac{\sqrt[\phantom{2}]{2}}{2}}{}}}\frac{11x^{2}dx}{(25-x^2{)}^{\frac{3}{2}}}$

${\displaystyle \underset{0}{\overset{5\frac{\sqrt[\phantom{2}]{2}}{2}}{}}}\frac{11x^{2}dx}{(25-x^2{)}^{\frac{3}{2}}}=$

$($Type an exact answer, using $$ and radicals as needed.$)$