Final Answer
Step-by-step Solution
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Solve the product $-5\left(x-2\right)$
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$\int_{3}^{7}\left(\left(5x+4\right)^3-5x+10\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (5x+4)^3-5(x-2) from 3 to 7. Solve the product -5\left(x-2\right). Expand the integral \int_{3}^{7}\left(\left(5x+4\right)^3-5x+10\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{3}^{7}\left(5x+4\right)^3dx results in: 109156. The integral \int_{3}^{7}-5xdx results in: -100.