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प्रश्न

\[\int\left\{ x^2 + e^{\log  x}+ \left( \frac{e}{2} \right)^x \right\} dx\]

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उत्तर

`∫       ( 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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अध्याय 19: Indefinite Integrals - Exercise 19.02 [पृष्ठ १४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Exercise 19.02 | Q 8 | पृष्ठ १४

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