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Solving integrals/ 4*cos(x)

Integral of 4*cos(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  pi            
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  |  4*cos(x) dx
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 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{\pi}{3}} 4 \cos{\left(x \right)}\, dx$$ 
Integral(4*cos(x), (x, -pi/3, pi/3))
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] 
  /                          
 |                           
 | 4*cos(x) dx = C + 4*sin(x)
 |                           
/
$$\int 4 \cos{\left(x \right)}\, dx = C + 4 \sin{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
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4*\/ 3
$$4 \sqrt{3}$$ 
=
= 
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4*\/ 3
$$4 \sqrt{3}$$ 
4*sqrt(3)
Numerical answer [src] 
6.92820323027551
6.92820323027551

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

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