## Final Answer

## Step-by-step Solution

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The integral of a function times a constant ($7$) is equal to the constant times the integral of the function

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$7\int e^{8x}xdx$

Learn how to solve problems step by step online. Find the integral int(7e^(8x)x)dx. The integral of a function times a constant (7) is equal to the constant times the integral of the function. We can solve the integral \int e^{8x}xdx 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.