MathematicsCode 9709

Integration

What this topic asks you to be able to do

  • broaden the notion of ‘reverse differentiation’ so that it covers integrating eax + b, ax b 1 + , sin(ax + b), cos(ax + b), sec2(ax + b) and xa 1 22 +
  • apply trigonometrical relationships while performing integration
  • integrate a rational function by first splitting it into partial fractions
  • recognise an integrand having the form xk x f f l ^ ^ h h, and integrate functions of this kind
  • recognise when it helps to treat an integrand as a product, and then integrate by parts
  • apply a supplied substitution to streamline and evaluate integrals, be they definite or indefinite