Question

Help : Integration with substitution!

Answer 1

\[\int\limits_{1}^{0} \frac{ x ^{2} }{ \sqrt{4-x ^{2}} } dx\]

Answer 2

\[use x = 2\sin \theta \]

Answer 3

to show that
\[\int\limits_{0}^{\frac{ \pi }{ 6 }} 4 \sin ^{4} \theta d \theta\]

Answer 4

Limits Pi/ 6 -> 0

Answer 5

\[\int\limits_{0}^{\Pi/6} \frac{ 4 \sin ^{2}\theta }{ ( 4 ( 1-\sin ^{2 }\theta ) )^{\frac{ 1 }{ 2 }} } 2 \cos \theta d \theta\]