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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of 1/(x(x+2))
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Integral of (1+2x^2)/(x^2(1+x^2))
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Integral of -15x^2
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Identical expressions
- one /(sqrt(4x- one - two x^2))
- 1 divide by ( square root of (4x minus 1 minus 2x squared ))
- one divide by ( square root of (4x minus one minus two x squared ))
- 1/(√(4x-1-2x^2))
- 1/(sqrt(4x-1-2x2))
- 1/sqrt4x-1-2x2
- 1/(sqrt(4x-1-2x²))
- 1/(sqrt(4x-1-2x to the power of 2))
- 1/sqrt4x-1-2x^2
- 1 divide by (sqrt(4x-1-2x^2))
- 1/(sqrt(4x-1-2x^2))dx
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Similar expressions
- 1/(sqrt(4x+1-2x^2))
- 1/(sqrt(4x-1+2x^2))
Integral of 1/(sqrt(4x-1-2x^2)) dx
The solution
You have entered
[src]
1 / | | 1 | ------------------- dx | ________________ | / 2 | \/ 4*x - 1 - 2*x | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + \left(4 x - 1\right)}}\, dx$$
Integral(1/(sqrt(4*x - 1 - 2*x^2)), (x, 0, 1))
The answer
[src]
1 / | | 1 | -------------------- dx | _________________ | / 2 | \/ -1 - 2*x + 4*x | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + 4 x - 1}}\, dx$$
=
=
1 / | | 1 | -------------------- dx | _________________ | / 2 | \/ -1 - 2*x + 4*x | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + 4 x - 1}}\, dx$$
Integral(1/sqrt(-1 - 2*x^2 + 4*x), (x, 0, 1))
Numerical answer
[src]
(1.04603829197099 - 0.631165838473228j)
(1.04603829197099 - 0.631165838473228j)
Use the examples entering the upper and lower limits of integration.