Mathematics - Indefinite Integration Question with Solution | TestHub

The radical expression simplifies on the stated interval to $f(\theta )=\sin \theta$. Thus ${\int }_{\pi /2}^{\pi }f=1,{\int }_{\pi /2}^{\pi }{f}^2=\pi /4$, and $f{}^{\prime }(3\pi /4)=\cos (3\pi /4)=-1/\sqrt{2}$. Therefore all of (A), (B), and (C) hold.