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

Integral of cos(1/x) dx

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The solution

You have entered [src] 
  1          
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0
∫01cos⁡(1x) dx\int\limits_{0}^{1} \cos{\left(\frac{1}{x} \right)}\, dx 
Integral(cos(1/x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                
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 |    /1\               /1\     /1\
 | cos|-| dx = C + x*cos|-| + Si|-|
 |    \x/               \x/     \x/
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∫cos⁡(1x) dx=C+xcos⁡(1x)+Si⁡(1x)\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
0.001.000.100.200.300.400.500.600.700.800.902.5-2.5
Plot the graph f(x)
The answer [src] 
  pi                 
- -- + Si(1) + cos(1)
  2
−π2+cos⁡(1)+Si⁡(1)- \frac{\pi}{2} + \cos{\left(1 \right)} + \operatorname{Si}{\left(1 \right)} 
=
= 
  pi                 
- -- + Si(1) + cos(1)
  2
−π2+cos⁡(1)+Si⁡(1)- \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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