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Combining like terms $4x$ and $-x$
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$\int_{0}^{2}3xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function 4x-x from 0 to 2. Combining like terms 4x and -x. The integral of a constant times a function is equal to the constant multiplied by 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. Evaluate the definite integral.