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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x^2+3x+2)
- Integral of sin(ax)
- Integral of e^(x*y)
- Integral of cos(log(x))/x
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Identical expressions
- sqrt((one -cos(two x))/2)
- square root of ((1 minus co sinus of e of (2x)) divide by 2)
- square root of ((one minus co sinus of e of (two x)) divide by 2)
- √((1-cos(2x))/2)
- sqrt1-cos2x/2
- sqrt((1-cos(2x)) divide by 2)
- sqrt((1-cos(2x))/2)dx
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Similar expressions
- sqrt((1+cos(2x))/2)
- sqrt((1-cos(2*x)/2))
Integral of sqrt((1-cos(2x))/2) dx
The solution
You have entered
[src]
100*pi
/
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| ______________
| / 1 - cos(2*x)
| / ------------ dx
| \/ 2
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/
0
$$\int\limits_{0}^{100 \pi} \sqrt{\frac{1 - \cos{\left(2 x \right)}}{2}}\, dx$$
Integral(sqrt((1 - cos(2*x))/2), (x, 0, 100*pi))
The answer (Indefinite)
[src]
/
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/ ___ | ______________
| \/ 2 * | \/ 1 - cos(2*x) dx
| ______________ |
| / 1 - cos(2*x) /
| / ------------ dx = C + ----------------------------
| \/ 2 2
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/
$$\int \sqrt{\frac{1 - \cos{\left(2 x \right)}}{2}}\, dx = C + \frac{\sqrt{2} \int \sqrt{1 - \cos{\left(2 x \right)}}\, dx}{2}$$
Use the examples entering the upper and lower limits of integration.