Integration (P1) Topic Review summary

Key learning points

• Reverse differentiation for polynomials and standard forms.
• Definite integrals and area under a curve.
• Area between lines/curves when required.
• Constant of integration for indefinite work.
• Check by differentiating your answer.

Worked example 1 — Poly

$\\int(6x^2-4)\\,dx$.

Working

Increase powers by 1.

Worked example 2 — Definite

$\\int_0^1 3x^2\\,dx$.

Working

$[x^3]_0^1$.

Worked example 3 — Reverse differentiation for polynomials an

Apply this idea from the Topic Review: Reverse differentiation for polynomials and standard forms.

Working

Attempt without notes, then check the answers PDF.

Worked example 4 — Definite integrals and area under a curve

Apply this idea from the Topic Review: Definite integrals and area under a curve.

Working

Attempt without notes, then check the answers PDF.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.