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2cosxdx
Solving integrals/ 2cosxdx

Integral of 2cosxdx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  2*cos(x) dx
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∫012cos⁡(x) dx\int\limits_{0}^{1} 2 \cos{\left(x \right)}\, dx 
Integral(2*cos(x), (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫2cos⁡(x) dx=2∫cos⁡(x) dx\int 2 \cos{\left(x \right)}\, dx = 2 \int \cos{\left(x \right)}\, dx

    1. The integral of cosine is sine:

      ∫cos⁡(x) dx=sin⁡(x)\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}

    So, the result is: 2sin⁡(x)2 \sin{\left(x \right)}

  2. Add the constant of integration:

    2sin⁡(x)+constant2 \sin{\left(x \right)}+ \mathrm{constant}

The answer is:

2sin⁡(x)+constant2 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 2*cos(x) dx = C + 2*sin(x)
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∫2cos⁡(x) dx=C+2sin⁡(x)\int 2 \cos{\left(x \right)}\, dx = C + 2 \sin{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
2*sin(1)
2sin⁡(1)2 \sin{\left(1 \right)} 
=
= 
2*sin(1)
2sin⁡(1)2 \sin{\left(1 \right)} 
2*sin(1)
Numerical answer [src] 
1.68294196961579
1.68294196961579
The graph
Integral of 2cosxdx dx

    Use the examples entering the upper and lower limits of integration.

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