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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 sin(5x)
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Integral of x/(x^3+8)
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Integral of x*e^(5*x)*dx
- Integral of 1/(x+lnx)
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Identical expressions
- one /(x+lnx)
- 1 divide by (x plus lnx)
- one divide by (x plus lnx)
- 1/x+lnx
- 1 divide by (x+lnx)
- 1/(x+lnx)dx
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Similar expressions
- 1/(x-lnx)
- 1/(x+ln(x))
- 1/x+ln(x)
- 1/(x+(lnx)^2)
Integral of 1/(x+lnx) dx
The solution
You have entered
[src]
oo / | | 1 | ---------- dx | x + log(x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x + \log{\left(x \right)}}\, dx$$
Integral(1/(x + log(x)), (x, 1, oo))
The answer (Indefinite)
[src]
/ / | | | 1 | 1 | ---------- dx = C + | ---------- dx | x + log(x) | x + log(x) | | / /
$$\int \frac{1}{x + \log{\left(x \right)}}\, dx = C + \int \frac{1}{x + \log{\left(x \right)}}\, dx$$
The answer
[src]
oo / | | 1 | ---------- dx | x + log(x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x + \log{\left(x \right)}}\, dx$$
=
=
oo / | | 1 | ---------- dx | x + log(x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x + \log{\left(x \right)}}\, dx$$
Integral(1/(x + log(x)), (x, 1, oo))
Use the examples entering the upper and lower limits of integration.