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We can solve the integral $\int\left(-3x^2+14\right)\left(x^3+7x+1\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
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$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve problems step by step online. Find the integral int((-3x^2+14)(x^3+7x+1))dx. We can solve the integral \int\left(-3x^2+14\right)\left(x^3+7x+1\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.