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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sinx
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Integral of cosx^2
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Integral of sinh(x)
- Integral of xcos(nx)
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Identical expressions
- (x-sqrtx)/(one -sqrtx)
- (x minus square root of x) divide by (1 minus square root of x)
- (x minus square root of x) divide by (one minus square root of x)
- (x-√x)/(1-√x)
- x-sqrtx/1-sqrtx
- (x-sqrtx) divide by (1-sqrtx)
- (x-sqrtx)/(1-sqrtx)dx
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Similar expressions
- (x-sqrtx)/(1+sqrtx)
- (x+sqrtx)/(1-sqrtx)
Integral of (x-sqrtx)/(1-sqrtx) dx
The solution
You have entered
[src]
0 / | | ___ | x - \/ x | --------- dx | ___ | 1 - \/ x | / 0
$$\int\limits_{0}^{0} \frac{- \sqrt{x} + x}{1 - \sqrt{x}}\, dx$$
Integral((x - sqrt(x))/(1 - sqrt(x)), (x, 0, 0))
The answer (Indefinite)
[src]
/ | | ___ 3/2 | x - \/ x 2*x | --------- dx = C - ------ | ___ 3 | 1 - \/ x | /
$$\int \frac{- \sqrt{x} + x}{1 - \sqrt{x}}\, dx = C - \frac{2 x^{\frac{3}{2}}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.