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Integral of ln(x+sqrt(x^2+1)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
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$$\int\limits_{0}^{1} \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx$$
Integral(log(x + sqrt(x^2 + 1)), (x, 0, 1))
The answer (Indefinite) [src]
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 | log\x + \/  x  + 1 / dx = C - \/  x  + 1  + x*log\x + \/  x  + 1 /
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$$\int \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx = C + x \log{\left(x + \sqrt{x^{2} + 1} \right)} - \sqrt{x^{2} + 1}$$
Numerical answer [src]
0.467160024646448
0.467160024646448

    Use the examples entering the upper and lower limits of integration.