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Step-by-step Solution

Integrate $\cos\left(6x\right)$ from $0$ to $1.0472$

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Answer

$0$

Step-by-step explanation

Problem to solve:

$\int_0^{\frac{\pi}{3}}\left(cos\left(6x\right)\right)dx$
1

Solve the integral $\int_{0}^{\frac{4}{\sqrt{2}}}\cos\left(6x\right)dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=6x \\ du=6dx\end{matrix}$
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Isolate $dx$ in the previous equation

$\frac{du}{6}=dx$

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Answer

$0$
$\int_0^{\frac{\pi}{3}}\left(cos\left(6x\right)\right)dx$

Main topic:

Definite integrals

Used formulas:

1. See formulas

Time to solve it:

~ 0.75 seconds