New posts in Hyperbolic Functions

Deriving $\sin{ix}=i\sinh{x}$

Why is $\sinh(45°)$ not infinity? How does it ever intersect with the hyperbola, seeing as it goes along the asymptote?

Proof of Fresnel's Integral

$\int \frac{\sqrt{x}}{x-1}dx $

Derivation of $\tanh$ solution to $\frac{1}{2}f''=f^3 - f$

Is there a formula for the area under $\tanh(x)$?

Integral $\int_0^\infty\frac{\tanh^2(x)}{x^2}dx$

Closed-form of $\int_0^\infty \frac{1}{\left(a+\cosh x\right)^{1/n}} \, dx$ for $a=0,1$

Closed form for ${\large\int}_0^\infty\frac{x\,\sqrt{e^x-1}}{1-2\cosh x}\,dx$

What is the importance of $\sinh(x)$?