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Evaluate: inte^(2x)sinxcosx\ dx...

Evaluate: `inte^(2x)sinxcosx\ dx`

Text Solution

Verified by Experts

Let `I=int e^{2 x} sin x cos x d x`
` =1 / 2 int e^{2 x} 2 sin x cos x d x `
` =1 / 2 int e^{2 x} sin 2 x d x`
As we know that
` int e^{a x} sinbxdx=frac{e^{a x}}{a^{2}+b^{2}}{a sin b x-b cos b x}+c `
` ...
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