Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
- Integral of log(x)
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Integral of sin(1/x)
-
Integral of x*x
- Integral of xcsc²x
- Graphing y =:
- sin(1/x)
- Derivative of:
-
sin(1/x)
- Limit of the function:
-
sin(1/x)
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Identical expressions
- sin(one /x)
- sinus of (1 divide by x)
- sinus of (one divide by x)
- sin1/x
- sin(1 divide by x)
- sin(1/x)dx
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Similar expressions
- sqrt(sin(1/x^2))/ln^2(x)
- (sin(x^9)/x^90)*sin(1/x^(1/90))
Integral of sin(1/x) dx
The solution
You have entered
[src]
1 / | | / 1\ | sin|1*-| dx | \ x/ | / 0
$$\int\limits_{0}^{1} \sin{\left(1 \cdot \frac{1}{x} \right)}\, dx$$
The answer (Indefinite)
[src]
/1 \ / log|--| | | 2| | / 1\ /1\ \x / /1\ /1\ | sin|1*-| dx = C - Ci|-| - ------- + x*sin|-| + log|-| | \ x/ \x/ 2 \x/ \x/ | /
$${{2\,\sin \left({{1}\over{x}}\right)\,x+\Gamma\left(0 , {{i}\over{x
}}\right)+\Gamma\left(0 , -{{i}\over{x}}\right)}\over{2}}$$
The graph
The answer
[src]
-Ci(1) + sin(1)
$${{2\,\sin 1+\Gamma\left(0 , i\right)+\Gamma\left(0 , -i\right)
}\over{2}}$$
=
=
-Ci(1) + sin(1)
$$- \operatorname{Ci}{\left(1 \right)} + \sin{\left(1 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.