Mister Exam
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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of (1+x^4)^(1/2)
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Integral of x^-3dx
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Integral of (x^3+2)/(x^3-4x)
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Integral of (x²-1)/(x²+1)
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Identical expressions
- dy/(y^ two - two *y)
- dy divide by (y squared minus 2 multiply by y)
- dy divide by (y to the power of two minus two multiply by y)
- dy/(y2-2*y)
- dy/y2-2*y
- dy/(y²-2*y)
- dy/(y to the power of 2-2*y)
- dy/(y^2-2y)
- dy/(y2-2y)
- dy/y2-2y
- dy/y^2-2y
- dy divide by (y^2-2*y)
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Similar expressions
- dy/(y^2+2*y)
Integral of dy/(y^2-2*y) dx
The solution
You have entered
[src]
1 / | | 1 | -------- dy | 2 | y - 2*y | / 0
$$\int\limits_{0}^{1} \frac{1}{y^{2} - 2 y}\, dy$$
Integral(1/(y^2 - 2*y), (y, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 log(-2 + y) log(y) | -------- dy = C + ----------- - ------ | 2 2 2 | y - 2*y | /
$$\int \frac{1}{y^{2} - 2 y}\, dy = C - \frac{\log{\left(y \right)}}{2} + \frac{\log{\left(y - 2 \right)}}{2}$$
The graph
The answer
[src]
pi*I
-oo + ----
2
$$-\infty + \frac{i \pi}{2}$$
=
=
pi*I
-oo + ----
2
$$-\infty + \frac{i \pi}{2}$$
-oo + pi*i/2
Use the examples entering the upper and lower limits of integration.