-3-2-1 - cos x 1 - cos x5-2 dx -

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Square Root of a Complex Number

∫π/3π/2√1 + c...

Question

$\int_{\frac{π}{3}}^{\frac{π}{2}} \frac{\sqrt{1 + cos x}}{{(1 - cos x)}^{\frac{5}{2}}} d x =$

\frac{5}{2}

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\frac{3}{2}

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\frac{1}{2}

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\frac{2}{5}

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Solution

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Similar questions

$\int_{π / 3}^{π / 2} \frac{\sqrt{1 + c o s x}}{(1 - c o s x)^{5 / 2}} d x$

{tan}^{- 1} (\frac{\sqrt{1 + cos x} + \sqrt{1 - cos x}}{\sqrt{1 + cos x} - \sqrt{1 - cos x}}) = \frac{π}{4} - \frac{x}{2}

π < x < \frac{3 π}{2}

{tan}^{- 1} (\frac{\sqrt{1 + cos x} + \sqrt{1 - cos x}}{\sqrt{1 + cos x} - \sqrt{1 - cos x}}) = \frac{π}{4} - \frac{x}{2}

π < x < \frac{3 π}{2}

\int_{π / 3}^{π / 2} \frac{\sqrt{1 + \cos x}}{{(1 - \cos x)}^{5 / 2}} d x

sin x + cos x = \frac{1}{5}

tan 2 x

(\frac{π}{2} < x < \frac{3 π}{4})

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