keche0b

2022-01-16

Integrate from 0 to $2\pi$ with respect to $\theta$ the following ${\left(\mathrm{sin}\theta +\mathrm{cos}\theta \right)}^{n}$

RizerMix

Expert

Use $\mathrm{sin}\theta +\mathrm{cos}\theta =\sqrt{2}\mathrm{sin}\left(\theta +\frac{\pi }{4}\right)$. The phase shift doesnt

Vasquez

Expert

Hint : Let : $I={\int }_{0}^{2\pi }\left(\mathrm{sin}\theta +\mathrm{cos}\theta {\right)}^{n}d\theta$ Using Eulers