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Expand the integral $\int_{0}^{\pi }\left(5xz^2+3y\cos\left(z\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{0}^{\pi }5xz^2dx+\int_{0}^{\pi }3y\cos\left(z\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 5xz^2+3ycos(z) from 0 to pi. Expand the integral \int_{0}^{\pi }\left(5xz^2+3y\cos\left(z\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{\pi }5xz^2dx results in: 24.674011z^2. The integral \int_{0}^{\pi }3y\cos\left(z\right)dx results in: 3\pi y\cos\left(z\right). Gather the results of all integrals.