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Evaluate: int(e^x+1)/(e^x+x)dx...

Evaluate: `int(e^x+1)/(e^x+x)dx`

Text Solution

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Let` t=e^{x}+x`
` Rightarrow dt=e^x+1 dx`
` int frac{d t}{t}=ln t+c ` where c is the constant of integration.
` int frac{e^{x}+1}{e^{x}+x} d x=ln (e^{x}+x)+c`
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