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Calculus help please! Click the link to see the integral.


\int\limits { (cosx)/( √(sinx) ) } \, dx

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Let
u=\sin x, then
\mathrm du=\cos x\,\mathrm dx. Now


\displaystyle\int(\cos x)/(√(\sin x))\,\mathrm dx=\int(\mathrm du)/(\sqrt u)=\int u^(-1/2)\,\mathrm du

The power rule for integration gives


\displaystyle\int u^(-1/2)\,\mathrm du=2u^(1/2)+C=2√(\sin x)+C
User Patrickdavey
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