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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of 1/5x
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Integral of (sec(x))^3
- Integral of lnx/sqrtx
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Integral of x^2*e^(x^3)
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Identical expressions
- one /(one -cos(six *x))
- 1 divide by (1 minus co sinus of e of (6 multiply by x))
- one divide by (one minus co sinus of e of (six multiply by x))
- 1/(1-cos(6x))
- 1/1-cos6x
- 1 divide by (1-cos(6*x))
- 1/(1-cos(6*x))dx
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Similar expressions
- 1/(1+cos(6*x))
- 1/(1-cos6x)
Integral of 1/(1-cos(6*x)) dx
The solution
You have entered
[src]
p - 4 / | | 1 | ------------ dx | 1 - cos(6*x) | / p - 6
$$\int\limits_{\frac{p}{6}}^{\frac{p}{4}} \frac{1}{1 - \cos{\left(6 x \right)}}\, dx$$
Integral(1/(1 - cos(6*x)), (x, p/6, p/4))
Detail solution
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Rewrite the integrand:
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The integral of a constant times a function is the constant times the integral of the function:
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Don't know the steps in finding this integral.
But the integral is
So, the result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ | | 1 1 | ------------ dx = C - ---------- | 1 - cos(6*x) 6*tan(3*x) | /
$$\int \frac{1}{1 - \cos{\left(6 x \right)}}\, dx = C - \frac{1}{6 \tan{\left(3 x \right)}}$$
The answer
[src]
1 1
- ---------- + --------
/3*p\ /p\
6*tan|---| 6*tan|-|
\ 4 / \2/
$$- \frac{1}{6 \tan{\left(\frac{3 p}{4} \right)}} + \frac{1}{6 \tan{\left(\frac{p}{2} \right)}}$$
=
=
1 1
- ---------- + --------
/3*p\ /p\
6*tan|---| 6*tan|-|
\ 4 / \2/
$$- \frac{1}{6 \tan{\left(\frac{3 p}{4} \right)}} + \frac{1}{6 \tan{\left(\frac{p}{2} \right)}}$$
-1/(6*tan(3*p/4)) + 1/(6*tan(p/2))
Use the examples entering the upper and lower limits of integration.