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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^3*exp(x^2)
- Integral of x^2*a^x
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Integral of sec³x
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Integral of x*3^x
- Derivative of:
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ln((x-1)/(x+1))
- Graphing y =:
- ln((x-1)/(x+1))
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Identical expressions
- ln((x- one)/(x+ one))
- ln((x minus 1) divide by (x plus 1))
- ln((x minus one) divide by (x plus one))
- lnx-1/x+1
- ln((x-1) divide by (x+1))
- ln((x-1)/(x+1))dx
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Similar expressions
- ln((x-1)/(x-1))
- ln((x+1)/(x+1))
Integral of ln((x-1)/(x+1)) dx
The solution
You have entered
[src]
1 / | | /x - 1\ | log|-----| dx | \x + 1/ | / 0
$$\int\limits_{0}^{1} \log{\left(\frac{x - 1}{x + 1} \right)}\, dx$$
Integral(log((x - 1)/(x + 1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | /x - 1\ /x - 1\ | log|-----| dx = C - log(1 + x) - log(-1 + x) + x*log|-----| | \x + 1/ \x + 1/ | /
$$\int \log{\left(\frac{x - 1}{x + 1} \right)}\, dx = C + x \log{\left(\frac{x - 1}{x + 1} \right)} - \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)}$$
The graph
The answer
[src]
-2*log(2) + pi*I
$$- 2 \log{\left(2 \right)} + i \pi$$
=
=
-2*log(2) + pi*I
$$- 2 \log{\left(2 \right)} + i \pi$$
-2*log(2) + pi*i
Numerical answer
[src]
(-1.38629436111989 + 3.14159265358979j)
(-1.38629436111989 + 3.14159265358979j)
The graph
Use the examples entering the upper and lower limits of integration.