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Mathematics Extension 2

integration (1 Viewer)

Thread starter ashokkumar
Start date May 20, 2010

$\text{Let} \,\, I=\int x\sqrt{2x-x^{2}}dx=\int x\sqrt{1-\left ( x-1 \right )^{2}}dx \\\\ \text{Let} \,\, x-1=\sin\theta \Rightarrow dx=\cos\theta d\theta \\\\ \therefore I=\int \left ( 1+\sin\theta \right )\cos\theta d\theta \\\\ \text{Which is easy mode...}$

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integration (1 Viewer)

ashokkumar

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gurmies

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