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Step-by-step Solution

Integrate cos(3.141592653589793*x) from 0 to 8

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Answer

$\frac{63}{466}$

Step-by-step explanation

Problem to solve:

$\int_0^8\left(\cos\left(\pi x\right)\right)dx$
1

Solve the integral $\int_{0}^{8}\cos\left(\pi x\right)dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=\pi x \\ du=\pi dx\end{matrix}$
2

Isolate $dx$ in the previous equation

$\frac{du}{\pi }=dx$

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Answer

$\frac{63}{466}$
$\int_0^8\left(\cos\left(\pi x\right)\right)dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 0.42 seconds