A-Level Further Maths Edexcel 9FM0

Derive formulae for and calculate volumes of revolution.

Evaluate improper integrals where either the integrand is undefined at a value in the range of integration or the range of integration extends to infinity.

Understand and evaluate the mean value of a function.

Integrate using partial fractions.

Differentiate inverse trigonometric functions.

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