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\int_{0}^{2}\left(\frac{5}{2}\pi^2 z^2+3\pi\cdot y\cdot \cos\left(z\right)\right)dy

Integrate 5/2pi^2*z^2+3*pi*y*cos(z) from 0 to 2

Answer

$65.7974+18.8496\cos\left(z\right)$

Step-by-step explanation

Problem to solve:

$\int_{0}^{2}\left(\frac{5}{2}\pi^2 z^2+3\pi\cdot y\cdot \cos\left(z\right)\right)dy$
1

Multiply $3$ times $\pi $

$\int_{0}^{2}\left(\frac{5}{2}\cdot \pi ^2z^2+9.4248y\cos\left(z\right)\right)dy$

Unlock this step-by-step solution!

Answer

$65.7974+18.8496\cos\left(z\right)$
$\int_{0}^{2}\left(\frac{5}{2}\pi^2 z^2+3\pi\cdot y\cdot \cos\left(z\right)\right)dy$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.48 seconds