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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x×e^x
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Integral of 1/√(1-4x^2)
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Integral of x/(x^2+2x+2)
- Integral of (x^2+cos(x^2))/(sqrt(8x-x^4))
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Identical expressions
- x(x- five)^ one / two
- x(x minus 5) to the power of 1 divide by 2
- x(x minus five) to the power of one divide by two
- x(x-5)1/2
- xx-51/2
- xx-5^1/2
- x(x-5)^1 divide by 2
- x(x-5)^1/2dx
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Similar expressions
- x(x+5)^1/2
Integral of x(x-5)^1/2 dx
The solution
You have entered
[src]
1 / | | _______ | x*\/ x - 5 dx | / 0
$$\int\limits_{0}^{1} x \sqrt{x - 5}\, dx$$
Integral(x*sqrt(x - 5), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 5/2 3/2 | _______ 2*(-5 + x) 10*(-5 + x) | x*\/ x - 5 dx = C + ------------- + -------------- | 5 3 /
$$\int x \sqrt{x - 5}\, dx = C + \frac{2 \left(x - 5\right)^{\frac{5}{2}}}{5} + \frac{10 \left(x - 5\right)^{\frac{3}{2}}}{3}$$
The graph
The answer
[src]
___
208*I 20*I*\/ 5
- ----- + ----------
15 3
$$- \frac{208 i}{15} + \frac{20 \sqrt{5} i}{3}$$
=
=
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208*I 20*I*\/ 5
- ----- + ----------
15 3
$$- \frac{208 i}{15} + \frac{20 \sqrt{5} i}{3}$$
-208*i/15 + 20*i*sqrt(5)/3
The graph
Use the examples entering the upper and lower limits of integration.