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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 e^(-x/2)
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Integral of 1/(x-3)^2
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Integral of x/(x^2-4)^3
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Integral of (x*ln(x))/(1+x^2)^2
- Limit of the function:
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cos(pi/(6*x))
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Identical expressions
- cos(pi/(six *x))
- co sinus of e of ( Pi divide by (6 multiply by x))
- co sinus of e of ( Pi divide by (six multiply by x))
- cos(pi/(6x))
- cospi/6x
- cos(pi divide by (6*x))
- cos(pi/(6*x))dx
Integral of cos(pi/(6*x)) dx
The solution
You have entered
[src]
oo / | | / pi\ | cos|---| dx | \6*x/ | / 1
$$\int\limits_{1}^{\infty} \cos{\left(\frac{\pi}{6 x} \right)}\, dx$$
Integral(cos(pi/((6*x))), (x, 1, oo))
The answer (Indefinite)
[src]
/ / pi\ | pi*Si|---| | / pi\ / pi\ \6*x/ | cos|---| dx = C + x*cos|---| + ---------- | \6*x/ \6*x/ 6 | /
$$\int \cos{\left(\frac{\pi}{6 x} \right)}\, dx = C + x \cos{\left(\frac{\pi}{6 x} \right)} + \frac{\pi \operatorname{Si}{\left(\frac{\pi}{6 x} \right)}}{6}$$
The graph
The answer
[src]
/pi\
pi*Si|--|
\6 /
oo - ---------
6
$$- \frac{\pi \operatorname{Si}{\left(\frac{\pi}{6} \right)}}{6} + \infty$$
=
=
/pi\
pi*Si|--|
\6 /
oo - ---------
6
$$- \frac{\pi \operatorname{Si}{\left(\frac{\pi}{6} \right)}}{6} + \infty$$
oo - pi*Si(pi/6)/6
Use the examples entering the upper and lower limits of integration.