Write a value of ^ x e^ x dx - Vidyadip

Question

Write a value of $\int\text{a}^{\text{x}}\text{e}^{\text{x}}\text{ dx}$

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Answer

Let $\text{I}=\int\text{a}^{\text{x}}\text{e}^{\text{x}}\text{ dx}$

$=\int(\text{a}\text{e})^{\text{x}}\text{ dx}$

$=\frac{(\text{a}\text{e})^{\text{x}}}{\log\text{ae}}+\text{C}$

$\therefore\ \text{I}=\frac{(\text{a}\text{e})^{\text{x}}}{\log\text{ae}}+\text{C}$

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