Integration

Differentiation in reverse — and, through the fundamental theorem of calculus, the way to find exact areas under curves. At AS level you integrate xⁿ for rational n ≠ −1 and sums of such terms (DfE content area H).

• An Overview — the big idea, the language, the core techniques and the common mistakes

The content statements

• Indefinite Integration — reversing differentiation, the power rule, the constant of integration, and finding a curve through a point
• Definite Integrals and Areas — the fundamental theorem, evaluating definite integrals, regions below the axis and areas between a curve and a line

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Each page has step-by-step notes, several worked examples, a quick-reference grid and ten practice questions with fully worked solutions.