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Solving integrals/ sqrt(2)*cos(x)

Integral of sqrt(2)*cos(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  m                
  /                
 |                 
 |    ___          
 |  \/ 2 *cos(x) dx
 |                 
/                  
0
$$\int\limits_{0}^{m} \sqrt{2} \cos{\left(x \right)}\, dx$$ 
Integral(sqrt(2)*cos(x), (x, 0, m))
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] 
  /                                  
 |                                   
 |   ___                   ___       
 | \/ 2 *cos(x) dx = C + \/ 2 *sin(x)
 |                                   
/
$$\int \sqrt{2} \cos{\left(x \right)}\, dx = C + \sqrt{2} \sin{\left(x \right)}$$
Simplify
The answer [src] 
  ___       
\/ 2 *sin(m)
$$\sqrt{2} \sin{\left(m \right)}$$ 
=
= 
  ___       
\/ 2 *sin(m)
$$\sqrt{2} \sin{\left(m \right)}$$ 
sqrt(2)*sin(m)

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

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