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The integral of a function times a constant ($v$) is equal to the constant times the integral of the function
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$v\int\left(x^3+2x^2+4x+2\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(v(x^3+2x^24x+2))dx. The integral of a function times a constant (v) is equal to the constant times the integral of the function. Expand the integral \int\left(x^3+2x^2+4x+2\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product v\left(\int x^3dx+\int2x^2dx+\int4xdx+\int2dx\right). The integral v\int x^3dx results in: \frac{x^{4}v}{4}.