Integration of Polynomials

Integrate single polynomial terms of the form $x^n$ using the power rule, correctly including the constant of integration.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • No direct alignment recorded
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-04

Resources

Terminology

  • Indefinite integral
  • Definite integral
  • Limits of integration
  • Constant of integration
  • Area under a curve
  • Integrand

Task goals

  • Foundation: Integrate single polynomial terms of the form $x^n$ using the power rule, correctly including the constant of integration.
  • Proficient: Integrate sums and differences of polynomial terms with integer or fractional coefficients, and evaluate definite integrals over a stated interval.
  • Excellence: Apply polynomial integration to find the area under a curve or between a curve and the $x$-axis, or determine an unknown constant of integration using a given point on the curve.

Where this fits

What leads into this objective, and where it goes next.

Before

Gradient

Gradient

You are here

Integration of Polynomials

Integration of Polynomials

Next

No further statements exist yet for the next step on this topic in the data.

Explore the whole sequence →