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Integration as reverse differentiation

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

Integration Lesson

AS Level
Maths
Integration

Step-by-step lessons covering Edexcel AS Level Maths Integration for AS Level Maths. Each lesson breaks down 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, then works through exam-style questions in Paper 1 and Paper 2 format. Build fluency in the core algebra, surds and trigonometry topics early, since they underpin the calculus, statistics and mechanics content that follows.

Lessons

x

Integration as reverse differentiation

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

Integration Lesson

AS Level
Maths
Integration

Step-by-step lessons covering Edexcel AS Level Maths Integration for AS Level Maths. Each lesson breaks down 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, then works through exam-style questions in Paper 1 and Paper 2 format. Build fluency in the core algebra, surds and trigonometry topics early, since they underpin the calculus, statistics and mechanics content that follows.