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Question
\[\int\left\{ x^2 + e^{\log x}+ \left( \frac{e}{2} \right)^x \right\} dx\]
Sum
Solution
`∫ ( x^2 + e^log x+ (e/2 )^x ) dx`
`= ∫ x^2dx + ∫ xdx + ∫ (e/2)^x dx `
\[ = \frac{x^3}{3} + \frac{x^2}{2} + \frac{\left( \frac{e}{2} \right)^x}{\ln \left( \frac{e}{2} \right)} + C\]
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