Mate $1360$ A $1,$ Tecn cas de in$?$

$11.[-/1\mathrm{.}68$ Points$]$

Evaluate the definite integral using the given integration limits and the limits obtained by trigonometric substitution.

${\displaystyle \underset{0}{\overset{\frac{\sqrt[\phantom{2}]{2}}{2}}{}}}\frac{t^2}{(1-t^2{)}^{\frac{3}{2}}}dt$

$($a$)$ the given integration limits

$$

$($b$)$ the limits obtained by trigonometric substitution

$$

$$

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