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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 e^(2*x+1)
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Integral of -1/(y*(-1+y))
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Integral of (x+2)dx
- Integral of √((1-x)/(1+x))
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Identical expressions
- - one /(y*(- one +y))
- minus 1 divide by (y multiply by ( minus 1 plus y))
- minus one divide by (y multiply by ( minus one plus y))
- -1/(y(-1+y))
- -1/y-1+y
- -1 divide by (y*(-1+y))
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Similar expressions
- 1/(y*(-1+y))
- -1/(y*(1+y))
- -1/(y*(-1-y))
Integral of -1/(y*(-1+y)) dy
The solution
You have entered
[src]
1 / | | -1 | ---------- dy | y*(-1 + y) | / 0
$$\int\limits_{0}^{1} \left(- \frac{1}{y \left(y - 1\right)}\right)\, dy$$
Integral(-1/(y*(-1 + y)), (y, 0, 1))
The answer (Indefinite)
[src]
/ | | -1 | ---------- dy = C - log(-1 + y) + log(y) | y*(-1 + y) | /
$$\int \left(- \frac{1}{y \left(y - 1\right)}\right)\, dy = C + \log{\left(y \right)} - \log{\left(y - 1 \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.