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We can solve the integral $\int r^4\left(7+\frac{-r^5}{10}\right)dr$ 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(r^4(7+(-r^5)/10))dr. We can solve the integral \int r^4\left(7+\frac{-r^5}{10}\right)dr 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.