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Step-by-step Solution

Trigonometric integral $\int_{0}^{8}\cos\left(\pi x\right)dx$

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Answer

$0$

Step-by-step explanation

Problem to solve:

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

Apply the formula: $\int\cos\left(ax\right)dx$$=\frac{1}{a}\sin\left(ax\right)$, where $a=\pi $

$\left[\frac{6}{\sqrt[3]{5}}\sin\left(\pi x\right)\right]_{0}^{8}$
2

Evaluate the definite integral

$0.3183\sin\left(\pi \cdot 8\right)-1\cdot 0.3183\sin\left(\pi \cdot 0\right)$

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Answer

$0$
$\int_0^8\left(\cos\left(\pi x\right)\right)dx$

Main topic:

Integration by substitution

Time to solve it:

~ 1.13 seconds