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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  157                
  ---                
   50                
   /                 
  |                  
  |     ___          
  |   \/ 2 *sin(x) dx
  |                  
 /                   
-157                 
-----                
  50
$$\int\limits_{- \frac{157}{50}}^{\frac{157}{50}} \sqrt{2} \sin{\left(x \right)}\, dx$$ 
Integral(sqrt(2)*sin(x), (x, -157/50, 157/50))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of sine is negative cosine:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                                   
 |   ___                   ___       
 | \/ 2 *sin(x) dx = C - \/ 2 *cos(x)
 |                                   
/
$$\int \sqrt{2} \sin{\left(x \right)}\, dx = C - \sqrt{2} \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
0
$$0$$ 
=
= 
0
$$0$$ 
0
Numerical answer [src] 
0.0
0.0

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

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