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Calculate the power $e^3$
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$\int e^{3}xdx$
Learn how to solve integral calculus problems step by step online. Find the integral int(xe^3)dx. Calculate the power e^3. The integral of a function times a constant (e^{3}) 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.