Question Number 133 by sagarwal last updated on 25/Jan/15
$$\mathrm{Evaluate}\:\int\sqrt{\mathrm{sin}\:{x}}{dx} \\ $$
Answered by gkfichadia last updated on 10/Dec/14
$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$
Commented by 123456 last updated on 13/Dec/14
$${pudim} \\ $$
Commented by 123456 last updated on 15/Dec/14
![=−2E[(1/4)(π−2x)∣2]+C](Q195.png)
$$=−\mathrm{2E}\left[\frac{\mathrm{1}}{\mathrm{4}}\left(\pi−\mathrm{2}{x}\right)\mid\mathrm{2}\right]+\mathrm{C} \\ $$
Commented by 123456 last updated on 15/Dec/14
$$\mathrm{E}\left(\phi\mid\kappa\right)=\int_{\mathrm{0}} ^{\phi} \sqrt{\mathrm{1}−\kappa^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \theta}\:{d}\theta \\ $$