Understand integration as the operation that reverses differentiation, discover why the constant of integration is necessary, and reverse simple derivative facts.
State and apply the power rule for indefinite integrals, integrate polynomials term by term, and integrate negative-power and constant terms.
Explain that a point on a curve selects one member of the +c family, find the value of c by substitution, and find the full equation of a curve from its gradient function and one point.
Evaluate a definite integral using F(b) - F(a), explain why the constant of integration cancels, and use the additive property of adjoining intervals.
Explain why the definite integral equals area under a curve, find areas bounded by given lines or by a curve's own roots, and apply the same idea to find distance from a velocity-time graph.
Unit code SSC2
SSC2
Integrate polynomial functions; apply substitution, partial fractions, and integration by parts; calculate areas under curves using definite integrals and Simpsons rule.
