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Standard Formulae - 1

integrate 1-s...

Question

integrate 1-sinx dx/sinx(1+sinx)

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|\sqrt{\frac{1 - \sin x}{1 + \sin x}}| + |\sqrt{\frac{1 + \sin x}{1 - \sin x}}| = - \frac{2}{\cos x}, where \frac{π}{2} < x < π

\int \frac{s i n x}{1 + s i n x} d x

Q. Integrate the function

{tan}^{- 1} (\sqrt{\frac{1 - sin x}{1 + sin x}})

\int_{0}^{π / 2} \frac{\cos x}{(2 + \sin x) (1 + \sin x)} d x

\log (\frac{2}{3})

\log (\frac{3}{2})

\log (\frac{3}{4})

\log (\frac{4}{3})

y = \cot^{- 1} \{\frac{\sqrt{1 + \sin x} + \sqrt{1 - \sin x}}{\sqrt{1 + \sin x} - \sqrt{1 - \sin x}}\}

\frac{d y}{d x}

is independent of x.

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