« first day (4525 days earlier)      last day (101 days later) » 

00:22
The tag now has two questions.
1
Q: Proving $\sinh^{-1}x=-i\sin^{-1}ix$

Math GuyI 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
Q: Solving $\sinh^{-1} x=\ln(3-x^2)-\ln(x+\sqrt{3})$

SyaSya HaszemanDetermine the value of $x$ in the following equation; $$\sinh^{-1} x=\ln(3-x^2)-\ln(x+\sqrt{3})$$ Note: $\ln (x)= \log_e (x)$


« first day (4525 days earlier)      last day (101 days later) »