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How to use it?
- Integral of d{x}:
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Integral of x²dx
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Integral of ex
- Integral of x/x^2
- Integral of (log(x))/x
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Identical expressions
- ln(x)/(ln(x)+x+ one)^ two
- ln(x) divide by (ln(x) plus x plus 1) squared
- ln(x) divide by (ln(x) plus x plus one) to the power of two
- ln(x)/(ln(x)+x+1)2
- lnx/lnx+x+12
- ln(x)/(ln(x)+x+1)²
- ln(x)/(ln(x)+x+1) to the power of 2
- lnx/lnx+x+1^2
- ln(x) divide by (ln(x)+x+1)^2
- ln(x)/(ln(x)+x+1)^2dx
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Similar expressions
- ln(x)/(ln(x)-x+1)^2
- ln(x)/(ln(x)+x-1)^2
Integral of ln(x)/(ln(x)+x+1)^2 dx
The solution
You have entered
[src]
1 / | | log(x) | ----------------- dx | 2 | (log(x) + x + 1) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{\left(x + \log{\left(x \right)} + 1\right)^{2}}\, dx$$
Integral(log(x)/((log(x) + x + 1)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | log(x) x | ----------------- dx = C + -------------- | 2 1 + x + log(x) | (log(x) + x + 1) | /
$$\int \frac{\log{\left(x \right)}}{\left(x + \log{\left(x \right)} + 1\right)^{2}}\, dx = C + \frac{x}{x + \log{\left(x \right)} + 1}$$
Use the examples entering the upper and lower limits of integration.