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cos(1/x)
Solving integrals/ cos(1/x)

Integral of cos(1/x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     /1\   
 |  cos|-| dx
 |     \x/   
 |           
/            
0
$$\int\limits_{0}^{1} \cos{\left(\frac{1}{x} \right)}\, dx$$ 
Integral(cos(1/x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                
 |                                 
 |    /1\               /1\     /1\
 | cos|-| dx = C + x*cos|-| + Si|-|
 |    \x/               \x/     \x/
 |                                 
/
$$\int \cos{\left(\frac{1}{x} \right)}\, dx = C + x \cos{\left(\frac{1}{x} \right)} + \operatorname{Si}{\left(\frac{1}{x} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  pi                 
- -- + Si(1) + cos(1)
  2
$$- \frac{\pi}{2} + \cos{\left(1 \right)} + \operatorname{Si}{\left(1 \right)}$$ 
=
= 
  pi                 
- -- + Si(1) + cos(1)
  2
$$- \frac{\pi}{2} + \cos{\left(1 \right)} + \operatorname{Si}{\left(1 \right)}$$ 
-pi/2 + Si(1) + cos(1)
Numerical answer [src] 
-0.0888266551481704
-0.0888266551481704
The graph
Integral of cos(1/x) dx

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

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