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Step-by-step Solution

Integrate sin(4*x) from 0 to pi/4

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Answer

$\frac{1}{2661}$

Step-by-step explanation

Problem to solve:

$\int_0^{\frac{\pi}{4}}sin\left(4x\right)dx$
1

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

$\begin{matrix}u=4x \\ du=4dx\end{matrix}$
2

Isolate $dx$ in the previous equation

$\frac{du}{4}=dx$

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Answer

$\frac{1}{2661}$

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$\int_0^{\frac{\pi}{4}}sin\left(4x\right)dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 0.58 seconds