Differentiation and Integration – Further Maths Paper 1

Candidates should be able to:

  • obtain an expression for \(\dfrac{d^2y}{dx^2}\) in cases where the relation between \(y\) and \(x\) is defined implicitly or parametrically;
  • derive and use reduction formulae for the evaluation of definite integrals in simple cases;
  • use integration to find:
    • mean values and centroids of two- and three-dimensional figures (where equations are expressed in cartesian coordinates, including the use of a parameter), using strips, discs or shells as appropriate,
    • arc lengths (for curves with equations in cartesian coordinates, including the use of a parameter, or in polar coordinates),
    • surface areas of revolution about one of the axes (for curves with equations in cartesian coordinates, including the use of a parameter, but not for curves with equations in polar coordinates).

Using Integration to find Arc length

Arc Lengths Part I

Arc Lengths Part II

Premium Content :

Only paid customers can view this, you can purchase this HERE
If you have paid for this course please log in.
For more information please contact us.