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Evaluate: inte^x\ ((2+sin2x)/(1+cos2x))\...

Evaluate: `inte^x\ ((2+sin2x)/(1+cos2x))\ dx`

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We have `I=inte^(x)*{(2+sin2x)/(1+cos2x)}dx`
`=inte^(x)*{(2)/((1+cos2x))+(sin2x)/((1+cos2x))}dx`
`=inte^(x)*{(2)/(2cos^(2)x)+(2sinxcosx)/(2cos^(2)x)}dx=inte^(x)*{sec^(2)x+tanx}dx`
`=inte^(x)*{tanx+sec^(2)x}dx`
`inte^(x)*{f(x)+f'(x)}dx,"where"f(x)=tanxandf'(x)=sec^(2)x`
`=e^(x)*f(x)+C=e^(x)tanx+C`.
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