Final Answer
$49.348022z^2+6\pi \cos\left(z\right)$
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Step-by-step Solution
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1
Simplifying
$\int_{0}^{2}\left(\frac{5}{2}\cdot \pi ^2z^2+3\pi y\cos\left(z\right)\right)dy$
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$\int_{0}^{2}\left(\frac{5}{2}\cdot \pi ^2z^2+3\pi y\cos\left(z\right)\right)dy$
Learn how to solve equations problems step by step online. Integrate the function 5/2pi^2z^2+3*piycos(z) from 0 to 2. Simplifying. Simplify the expression inside the integral. The integral \int_{0}^{2}24.674011z^2dy results in: 49.348022z^2. The integral \int_{0}^{2}3\pi y\cos\left(z\right)dy results in: 6\pi \cos\left(z\right).
Final Answer
$49.348022z^2+6\pi \cos\left(z\right)$