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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of (1-4x^2)^(1/2)
- Integral of x(1-cos(2/x^2))
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Integral of (sqrt(x)-2)^2/x
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Integral of sqrt(1+sqrt(x))
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Identical expressions
- x(one -cos(two /x^ two))
- x(1 minus co sinus of e of (2 divide by x squared ))
- x(one minus co sinus of e of (two divide by x to the power of two))
- x(1-cos(2/x2))
- x1-cos2/x2
- x(1-cos(2/x²))
- x(1-cos(2/x to the power of 2))
- x1-cos2/x^2
- x(1-cos(2 divide by x^2))
- x(1-cos(2/x^2))dx
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Similar expressions
- x(1+cos(2/x^2))
Integral of x(1-cos(2/x^2)) dx
The solution
You have entered
[src]
oo / | | / /2 \\ | x*|1 - cos|--|| dx | | | 2|| | \ \x // | / 1
$$\int\limits_{1}^{\infty} x \left(1 - \cos{\left(\frac{2}{x^{2}} \right)}\right)\, dx$$
Integral(x*(1 - cos(2/x^2)), (x, 1, oo))
The answer (Indefinite)
[src]
2 /2 \ / x *cos|--| | 2 | 2| | / /2 \\ x /2 \ \x / | x*|1 - cos|--|| dx = C + -- - Si|--| - ---------- | | | 2|| 2 | 2| 2 | \ \x // \x / | /
$$\int x \left(1 - \cos{\left(\frac{2}{x^{2}} \right)}\right)\, dx = C - \frac{x^{2} \cos{\left(\frac{2}{x^{2}} \right)}}{2} + \frac{x^{2}}{2} - \operatorname{Si}{\left(\frac{2}{x^{2}} \right)}$$
Use the examples entering the upper and lower limits of integration.