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Step-by-step Solution

Integrate cos(6*x) from 0 to pi/3

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asinh
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Answer

$\frac{5}{274}$

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

$\begin{matrix}u=6x \\ du=6dx\end{matrix}$
2

Isolate $dx$ in the previous equation

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

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Answer

$\frac{5}{274}$

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

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 0.44 seconds