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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^3
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Integral of 4*x*exp(x^2)
- Integral of tan^(-1)x
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Integral of x*2^x
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Identical expressions
- one /(x^ two -4x- five)
- 1 divide by (x squared minus 4x minus 5)
- one divide by (x to the power of two minus 4x minus five)
- 1/(x2-4x-5)
- 1/x2-4x-5
- 1/(x²-4x-5)
- 1/(x to the power of 2-4x-5)
- 1/x^2-4x-5
- 1 divide by (x^2-4x-5)
- 1/(x^2-4x-5)dx
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Similar expressions
- 1/(x^2+4x-5)
- 1/(x^2-4x+5)
Integral of 1/(x^2-4x-5) dx
The solution
You have entered
[src]
oo / | | 1 | ------------ dx | 2 | x - 4*x - 5 | / -oo
$$\int\limits_{-\infty}^{\infty} \frac{1}{\left(x^{2} - 4 x\right) - 5}\, dx$$
Integral(1/(x^2 - 4*x - 5), (x, -oo, oo))
The answer (Indefinite)
[src]
/ | | 1 log(1 + x) log(-5 + x) | ------------ dx = C - ---------- + ----------- | 2 6 6 | x - 4*x - 5 | /
$$\int \frac{1}{\left(x^{2} - 4 x\right) - 5}\, dx = C + \frac{\log{\left(x - 5 \right)}}{6} - \frac{\log{\left(x + 1 \right)}}{6}$$
The graph
Use the examples entering the upper and lower limits of integration.