A-Level Further Maths Edexcel 9FM0

Understand the definitions of hyperbolic functions $\sinh{x}$, $\cosh{x}$ and $\tanh{x}$, including their domains and ranges, and be able to sketch their graphs.

Differentiate and integrate hyperbolic functions.

Understand and be able to use the definitions of the inverse hyperbolic functions and their domains and ranges.

Derive and use the logarithmic forms of the inverse hyperbolic functions.

Integrate functions of the form $(x^2 + a^2)^{-\frac{1}{2}}$ and $(x^2 - a^2)^{-\frac{1}{2}}$ and be able to choose substitutions to integrate associated functions.