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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
- Integral of ((1-x)/(1+x))^(1/2)
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Integral of x^2*e^2
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Integral of (x+1)e^(2x)
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Identical expressions
- one /((x(one -x))^(one / two))
- 1 divide by ((x(1 minus x)) to the power of (1 divide by 2))
- one divide by ((x(one minus x)) to the power of (one divide by two))
- 1/((x(1-x))(1/2))
- 1/x1-x1/2
- 1/x1-x^1/2
- 1 divide by ((x(1-x))^(1 divide by 2))
- 1/((x(1-x))^(1/2))dx
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Similar expressions
- 1/((x(1+x))^(1/2))
Integral of 1/((x(1-x))^(1/2)) dx
The solution
You have entered
[src]
oo / | | 1 | ------------- dx | ___________ | \/ x*(1 - x) | / 2
$$\int\limits_{2}^{\infty} \frac{1}{\sqrt{x \left(1 - x\right)}}\, dx$$
Integral(1/(sqrt(x*(1 - x))), (x, 2, oo))
The answer
[src]
oo / | | 1 | ------------- dx | ___________ | \/ x*(1 - x) | / 2
$$\int\limits_{2}^{\infty} \frac{1}{\sqrt{x \left(1 - x\right)}}\, dx$$
=
=
oo / | | 1 | ------------- dx | ___________ | \/ x*(1 - x) | / 2
$$\int\limits_{2}^{\infty} \frac{1}{\sqrt{x \left(1 - x\right)}}\, dx$$
Integral(1/sqrt(x*(1 - x)), (x, 2, oo))
Use the examples entering the upper and lower limits of integration.