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1

I discovered this relation while playing around with $\int\frac{\mathrm dx}{\sqrt{x^2+1}}$.
Method 1:
This is a standard integral, so it can be directly written as:
$$\int\frac{\mathrm dx}{\sqrt{x^2+1}}=\sinh^{-1}x+C$$
Method 2:
The integrand can be rewritten in the form $\frac1{\sqrt{1-t^2}}$ if...
0

Determine the value of $x$ in the following equation;
$$\sinh^{-1} x=\ln(3-x^2)-\ln(x+\sqrt{3})$$
Note: $\ln (x)= \log_e (x)$
On these two questions, the tag inverse-hyperbolic-functions was added an removed twice: math.stackexchange.com/posts/2580095/revisions and math.stackexchange.com/posts/4679660/revisions
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