Evaluate the following integrals: (x^e+e^x+e^e )dx - Vidyadip

Question

Evaluate the following integrals:
$\int\big(\text{x}^\text{e}+\text{e}^\text{x}+\text{e}^\text{e}\big)\text{dx}$

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Answer

$\int\big(\text{x}^\text{e}+\text{e}^\text{x}+\text{e}^\text{e}\big)\text{dx}$
$=\int\text{x}^\text{e}\text{dx}+\int\text{e}^\text{x}\text{dx}+\text{e}^\text{e}\int1\text{dx}$
$=\frac{\text{x}^{\text{e}+1}}{\text{e}+1}+\text{e}^\text{x}+\text{x}.\text{e}^\text{e}+\text{C}$

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