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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 1/x(x+1)
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Integral of -4*x*exp(-2*x)
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Integral of 1/cos^2(x)
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Identical expressions
- ln²(x)/(x²+ two x+2)
- ln²(x) divide by (x² plus 2x plus 2)
- ln²(x) divide by (x² plus two x plus 2)
- ln²x/x²+2x+2
- ln²(x) divide by (x²+2x+2)
- ln²(x)/(x²+2x+2)dx
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Similar expressions
- ln²(x)/(x²-2x+2)
- ln²(x)/(x²+2x-2)
Integral of ln²(x)/(x²+2x+2) dx
The solution
You have entered
[src]
oo / | | 2 | log (x) | ------------ dx | 2 | x + 2*x + 2 | / 0
$$\int\limits_{0}^{\infty} \frac{\log{\left(x \right)}^{2}}{\left(x^{2} + 2 x\right) + 2}\, dx$$
Integral(log(x)^2/(x^2 + 2*x + 2), (x, 0, oo))
The answer (Indefinite)
[src]
/ / | | | 2 | 2 | log (x) | log (x) | ------------ dx = C + | ------------ dx | 2 | 2 | x + 2*x + 2 | 2 + x + 2*x | | / /
$$\int \frac{\log{\left(x \right)}^{2}}{\left(x^{2} + 2 x\right) + 2}\, dx = C + \int \frac{\log{\left(x \right)}^{2}}{x^{2} + 2 x + 2}\, dx$$
The answer
[src]
oo / | | 2 | log (x) | ------------ dx | 2 | 2 + x + 2*x | / 0
$$\int\limits_{0}^{\infty} \frac{\log{\left(x \right)}^{2}}{x^{2} + 2 x + 2}\, dx$$
=
=
oo / | | 2 | log (x) | ------------ dx | 2 | 2 + x + 2*x | / 0
$$\int\limits_{0}^{\infty} \frac{\log{\left(x \right)}^{2}}{x^{2} + 2 x + 2}\, dx$$
Integral(log(x)^2/(2 + x^2 + 2*x), (x, 0, oo))
Use the examples entering the upper and lower limits of integration.