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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function

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$2\int\left(2x+1\right)dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(2(2x+1))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Expand the integral \int\left(2x+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 2\int2xdx results in: 2x^2. The integral 2\int1dx results in: 2x.

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