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- 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}:
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Integral of sin^2(x)cos^2(x)
- Integral of x^2√(1-x^2)
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Integral of exp(y)
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Integral of 1/(2+cos(x))
- Derivative of:
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xsin(1/x)
- Graphing y =:
- xsin(1/x)
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Identical expressions
- xsin(one /x)
- x sinus of (1 divide by x)
- x sinus of (one divide by x)
- xsin1/x
- xsin(1 divide by x)
- xsin(1/x)dx
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Similar expressions
- x*sin(1/x)
Integral of xsin(1/x) dx
The solution
You have entered
[src]
1 / | | / 1\ | x*sin|1*-| dx | \ x/ | / 0
$$\int\limits_{0}^{1} x \sin{\left(1 \cdot \frac{1}{x} \right)}\, dx$$
Integral(x*sin(1/x), (x, 0, 1))
The answer (Indefinite)
[src]
/ /1\ /1\ 2 /1\ | Si|-| x*cos|-| x *sin|-| | / 1\ \x/ \x/ \x/ | x*sin|1*-| dx = C + ----- + -------- + --------- | \ x/ 2 2 2 | /
$$\int x \sin{\left(1 \cdot \frac{1}{x} \right)}\, dx = C + \frac{x^{2} \sin{\left(\frac{1}{x} \right)}}{2} + \frac{x \cos{\left(\frac{1}{x} \right)}}{2} + \frac{\operatorname{Si}{\left(\frac{1}{x} \right)}}{2}$$
The graph
The answer
[src]
Si(1) cos(1) sin(1) pi ----- + ------ + ------ - -- 2 2 2 4
$$- \frac{\pi}{4} + \frac{\cos{\left(1 \right)}}{2} + \frac{\sin{\left(1 \right)}}{2} + \frac{\operatorname{Si}{\left(1 \right)}}{2}$$
=
=
Si(1) cos(1) sin(1) pi ----- + ------ + ------ - -- 2 2 2 4
$$- \frac{\pi}{4} + \frac{\cos{\left(1 \right)}}{2} + \frac{\sin{\left(1 \right)}}{2} + \frac{\operatorname{Si}{\left(1 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.