Final answer to the problem
$\frac{1}{2}e^zx^2+C_0$
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Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(xe^z)dx. The integral of a function times a constant (e^z) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\frac{1}{2}e^zx^2+C_0$
