Integrating Exponential Functions

Find the indefinite integral of simple exponential functions of the form $e^{kx}$ using the rule $\int e^{kx}\,dx = \frac{1}{k}e^{kx}+c$.

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

  • Exponential function
  • Reverse chain rule
  • Growth and decay
  • Rate of change
  • Constant of integration

Task goals

  • Foundation: Find the indefinite integral of simple exponential functions of the form $e^{kx}$ using the rule $\int e^{kx}\,dx = \frac{1}{k}e^{kx}+c$.
  • Proficient: Integrate exponential expressions with linear or composite exponents and combinations with algebraic terms, applying the reverse chain rule where needed.
  • Excellence: Evaluate definite integrals of exponential functions and apply them to problems involving area under a curve, accumulated change, or exponential growth/decay models.

Where this fits

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

Before

Gradient

Gradient

You are here

Integrating Exponential Functions

Integrating Exponential Functions

Next

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

Explore the whole sequence →