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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
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Integral of dx/x^3
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Integral of e^(2*x)*sin(x)
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Integral of 1/
- Derivative of:
- 1/(x^2-9x+20)
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Identical expressions
- one /(x^ two -9x+ twenty)
- 1 divide by (x squared minus 9x plus 20)
- one divide by (x to the power of two minus 9x plus twenty)
- 1/(x2-9x+20)
- 1/x2-9x+20
- 1/(x²-9x+20)
- 1/(x to the power of 2-9x+20)
- 1/x^2-9x+20
- 1 divide by (x^2-9x+20)
- 1/(x^2-9x+20)dx
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Similar expressions
- 1/(x^2+9x+20)
- 1/(x^2-9x-20)
Integral of 1/(x^2-9x+20) dx
The solution
You have entered
[src]
10 / | | 1 | ------------- dx | 2 | x - 9*x + 20 | / 6
$$\int\limits_{6}^{10} \frac{1}{\left(x^{2} - 9 x\right) + 20}\, dx$$
Integral(1/(x^2 - 9*x + 20), (x, 6, 10))
The answer (Indefinite)
[src]
/ | | 1 | ------------- dx = C - log(-8 + 2*x) + log(-10 + 2*x) | 2 | x - 9*x + 20 | /
$$\int \frac{1}{\left(x^{2} - 9 x\right) + 20}\, dx = C + \log{\left(2 x - 10 \right)} - \log{\left(2 x - 8 \right)}$$
The graph
The answer
[src]
-log(6) + log(2) + log(5)
$$- \log{\left(6 \right)} + \log{\left(2 \right)} + \log{\left(5 \right)}$$
=
=
-log(6) + log(2) + log(5)
$$- \log{\left(6 \right)} + \log{\left(2 \right)} + \log{\left(5 \right)}$$
-log(6) + log(2) + log(5)
Use the examples entering the upper and lower limits of integration.