Question

Evaluate: I didnt know how to write it all out up here, so it is down below

Answer 1

\[\int\limits_{0}^{\pi} (\cos (\theta)^2)^{1/2} d \theta \]

Answer 2

\[put ~\theta^2=t,\theta=\sqrt{t},d \theta=\frac{ 1 }{2\sqrt{t} }dt\]
\[when~\theta=0,t=0\]
\[when~\theta=\pi,t=\pi^2\]
\[I=\int\limits_{0}^{\pi^2} \sqrt{\cos t}*\frac{ 1 }{ 2\sqrt{t} }dt\]

Answer 3

Is that he final answer? I was thinking I had to go farther than that for some reason

Answer 4

yes idiot