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Integral Calculus> integration rootsquare cos2A/sinA=...

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integration rootsquare cos2A/sinA=

udaybhansingh , 11 Years ago

Grade 12th pass

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Nishant Vora

Last Activity: 11 Years ago

Hello student, Please find the answer to your question below

$I = \int \frac{cos2A}{sinA}dA I = \int \frac{1-2sin^{2}A}{sinA}dA I = \int cosecAdA - 2\int sinAdA I = \int cosecAdA - 2(-cosA) I = \int \frac{1+tan^{2}\frac{A}{2}}{2tan\frac{A}{2}}dA + 2cosA I = \int \frac{sec^{2}\frac{A}{2}}{2tan\frac{A}{2}}dA + 2cosA I = log(tan\frac{A}{2})+ 2cosA+c$

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