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The integral of a constant is equal to the constant times the integral's variable
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$2\left(x^2-4\right)x\cdot x$
Learn how to solve problems step by step online. Integrate the constant function int(2(x^2-4)x)dx. The integral of a constant is equal to the constant times the integral's variable. When multiplying two powers that have the same base (x), you can add the exponents. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.