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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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$7\int x\left(2x+3\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(7x(2x+3))dx. The integral of a function times a constant (7) is equal to the constant times the integral of the function. Rewrite the integrand x\left(2x+3\right) in expanded form. Expand the integral \int\left(2x^2+3x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 7\int2x^2dx results in: \frac{14}{3}x^{3}.