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Solving integrals/ 6*cos(x)*dx

Integral of 6*cos(x)*dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi            
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 12            
  /            
 |             
 |  6*cos(x) dx
 |             
/              
0
$$\int\limits_{0}^{\frac{\pi}{12}} 6 \cos{\left(x \right)}\, dx$$ 
Integral(6*cos(x), (x, 0, pi/12))
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] 
  /                          
 |                           
 | 6*cos(x) dx = C + 6*sin(x)
 |                           
/
$$\int 6 \cos{\left(x \right)}\, dx = C + 6 \sin{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      ___       ___
  3*\/ 2    3*\/ 6 
- ------- + -------
     2         2
$$- \frac{3 \sqrt{2}}{2} + \frac{3 \sqrt{6}}{2}$$ 
=
= 
      ___       ___
  3*\/ 2    3*\/ 6 
- ------- + -------
     2         2
$$- \frac{3 \sqrt{2}}{2} + \frac{3 \sqrt{6}}{2}$$ 
-3*sqrt(2)/2 + 3*sqrt(6)/2
Numerical answer [src] 
1.55291427061512
1.55291427061512

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

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