Integral of 2*cos(2*x) dx
The solution
Detail solution
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The integral of a constant times a function is the constant times the integral of the function:
∫2cos(2x)dx=2∫cos(2x)dx
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Let u=2x.
Then let du=2dx and substitute 2du:
∫4cos(u)du
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The integral of a constant times a function is the constant times the integral of the function:
∫2cos(u)du=2∫cos(u)du
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The integral of cosine is sine:
∫cos(u)du=sin(u)
So, the result is: 2sin(u)
Now substitute u back in:
2sin(2x)
So, the result is: sin(2x)
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Add the constant of integration:
sin(2x)+constant
The answer is:
sin(2x)+constant
The answer (Indefinite)
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| 2*cos(2*x) dx = C + sin(2*x)
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sin(2x)
The graph
Use the examples entering the upper and lower limits of integration.