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The integral of a function times a constant ($4$) is equal to the constant times the integral of the function
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$4\int xdx$
Learn how to solve integral calculus problems step by step online. Find the integral int(4x)dx. The integral of a function times a constant (4) 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.