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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 -2cosx
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Integral of 1/(1-x^2)^1/2
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Integral of (1/x^2)dx
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Integral of x*cos2x
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Identical expressions
- one /(sqrt(five -4x-x^ two))
- 1 divide by ( square root of (5 minus 4x minus x squared ))
- one divide by ( square root of (five minus 4x minus x to the power of two))
- 1/(√(5-4x-x^2))
- 1/(sqrt(5-4x-x2))
- 1/sqrt5-4x-x2
- 1/(sqrt(5-4x-x²))
- 1/(sqrt(5-4x-x to the power of 2))
- 1/sqrt5-4x-x^2
- 1 divide by (sqrt(5-4x-x^2))
- 1/(sqrt(5-4x-x^2))dx
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Similar expressions
- 1/(sqrt(5+4x-x^2))
- 1/(sqrt(5-4x+x^2))
Integral of 1/(sqrt(5-4x-x^2)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*----------------- dx | ______________ | / 2 | \/ 5 - 4*x - x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{- x^{2} - 4 x + 5}}\, dx$$
Integral(1/sqrt(5 - 4*x - x^2), (x, 0, 1))
The graph
The answer
[src]
pi -- - asin(2/3) 2
$${{\pi}\over{2}}-\arcsin \left({{2}\over{3}}\right)$$
=
=
pi -- - asin(2/3) 2
$$- \operatorname{asin}{\left(\frac{2}{3} \right)} + \frac{\pi}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.