Final Answer
Step-by-step Solution
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Simplify $\sqrt{e^x}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $x$ and $n$ equals $\frac{1}{2}$
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$\int_{0}^{9} xe^{\frac{1}{2}x}dx$
Learn how to solve problems step by step online. Integrate the function xe^x^1/2 from 0 to 9. Simplify \sqrt{e^x} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x and n equals \frac{1}{2}. We can solve the integral \int xe^{\frac{1}{2}x}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.