Question

Please help me finish the following trigonometric substitution (click to see). I have most of the work done just need help towards the end.

Answer 1

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

Answer 2

this is is the result when integrating with respect to theta
\[=2\theta+\sin(2\theta)+C\]

Answer 3

\[x=2\sin(\theta) \]
\[\frac{ x }{ 2 }=\sin(\theta)\]

Answer 4

and here is my triangle....