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Integration as reverse differentiation

Integration as reverse differentiation

Integration works backwards from a gradient function to a function itself. If F′(x)=f(x)F'(x)=f(x)F′(x)=f(x), then F(x)F(x)F(x) is an antiderivative of f(x)f(x)f(x) and ∫f(x) dx\int f(x)\,dx∫f(x)dx means integrate with respect to xxx.

Integration Lesson

  1. AS Level
  2. /Maths
  3. /Integration

Step-by-step lessons on Edexcel AS Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one builds up to exam-style questions. Build fluency in the core algebra, surds and trigonometry topics early, since they underpin the calculus, statistics and mechanics content that follows.

Lessons