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Rewrite the integrand $\left(-3x^2+14\right)\left(x^3+7x+1\right)$ in expanded form
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$\int\left(-3x^{5}-7x^3-3x^2+98x+14\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((-3x^2+14)(x^3+7x+1))dx. Rewrite the integrand \left(-3x^2+14\right)\left(x^3+7x+1\right) in expanded form. Expand the integral \int\left(-3x^{5}-7x^3-3x^2+98x+14\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-3x^{5}dx results in: -\frac{1}{2}x^{6}. The integral \int-7x^3dx results in: -\frac{7}{4}x^{4}.