Integral of Cosx dx

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  x          
  -          
  2          
  /          
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 |  cos(x) dx
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-x           
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 2

$$\int\limits_{- \frac{x}{2}}^{\frac{x}{2}} \cos{\left(x \right)}\, dx$$

Integral(cos(x), (x, -x/2, x/2))

Detail solution

The integral of cosine is sine:

$\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
Add the constant of integration:

$\sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$\sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                      
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 | cos(x) dx = C + sin(x)
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/

$$\int \cos{\left(x \right)}\, dx = C + \sin{\left(x \right)}$$

Simplify

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.