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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(-x)/sqrt(x)
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Integral of 8/x^2
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Integral of (1+x^2)^0.5
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Integral of 2*t
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Identical expressions
- x^(one / two)*(x- one)
- x to the power of (1 divide by 2) multiply by (x minus 1)
- x to the power of (one divide by two) multiply by (x minus one)
- x(1/2)*(x-1)
- x1/2*x-1
- x^(1/2)(x-1)
- x(1/2)(x-1)
- x1/2x-1
- x^1/2x-1
- x^(1 divide by 2)*(x-1)
- x^(1/2)*(x-1)dx
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Similar expressions
- x^(1/2)*(x+1)
Integral of x^(1/2)*(x-1) dx
The solution
You have entered
[src]
1 / | | ___ | \/ x *(x - 1) dx | / 0
$$\int\limits_{0}^{1} \sqrt{x} \left(x - 1\right)\, dx$$
Integral(sqrt(x)*(x - 1), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3/2 5/2 | ___ 2*x 2*x | \/ x *(x - 1) dx = C - ------ + ------ | 3 5 /
$$\int \sqrt{x} \left(x - 1\right)\, dx = C + \frac{2 x^{\frac{5}{2}}}{5} - \frac{2 x^{\frac{3}{2}}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.