Final Answer
Step-by-step Solution
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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
Learn how to solve integrals of exponential functions problems step by step online.
$\int xe^{-\frac{x}{2}}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(x/(e^(x/2)))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiplying the fraction by -1. We can solve the integral \int xe^{\frac{-x}{2}}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.