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Integral of 2*cos(x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
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 |  2*cos(x) dx
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$$\int\limits_{0}^{\frac{x}{2}} 2 \cos{\left(x \right)}\, dx$$
Integral(2*cos(x), (x, 0, x/2))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of cosine is sine:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
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 | 2*cos(x) dx = C + 2*sin(x)
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$$\int 2 \cos{\left(x \right)}\, dx = C + 2 \sin{\left(x \right)}$$
The answer [src]
     /x\
2*sin|-|
     \2/
$$2 \sin{\left(\frac{x}{2} \right)}$$
=
=
     /x\
2*sin|-|
     \2/
$$2 \sin{\left(\frac{x}{2} \right)}$$
2*sin(x/2)

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