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Step-by-step Solution

Trigonometric integral $\int_{0}^{2}\sin\left(2x\right)dx$

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asin
acos
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sinh
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asinh
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Answer

$0.825$

Step-by-step explanation

Problem to solve:

$\int_{0}^{2}\sin\left(2x\right)dx$
1

Apply the formula: $\int\sin\left(ax\right)dx$$=-\left(\frac{1}{a}\right)\cos\left(ax\right)$, where $a=2$

$\left[-\frac{1}{2}\cos\left(2x\right)\right]_{0}^{2}$
2

Evaluate the definite integral

$\cos\left(2\cdot 2\right)-0.5-1\cos\left(2\cdot 0\right)-0.5$

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Answer

$0.825$
$\int_{0}^{2}\sin\left(2x\right)dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.72 seconds