Int Sin2 X /1 - Cosx Dx =

Given:

\(\int \frac{sin^{2}\;x}{1 – cos\;x} * dx \) \(\Rightarrow sin^{2}\;x = 1 – cos^{2}\;x\\\Rightarrow \int (\frac{1 – cos^{2}\;x}{1 – cos\;x})*dx\\\Rightarrow \int ( 1 + cos\;x ) dx\\\Rightarrow \int 1\;dx + \int cos\;x\;dx\\\Rightarrow x + sin\;x + c\\\Rightarrow\int \frac{sin^{2}\;x}{1 – cos\;x}* dx = x + sin\;x + c \)

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