Calculus and change

Integral

A mathematical construction representing accumulation; a definite integral is the signed limit of sums over an interval.

Common notation∫ₐᵇf(x)dx

In one sentence

What does Integral mean?

A mathematical construction representing accumulation; a definite integral is the signed limit of sums over an interval.

How it is written

∫ₐᵇf(x)dx

A compact example

∫₀²x dx=2.

Other names and search terms

integration, antiderivative.

Where this fits

When should you learn Integral?

The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.

  1. 1Pre-high schoolPrepare foundations
  2. 2High schoolUsually introduced
  3. 3CollegeGreater depth
  4. 4AdvancedGreater depth
Typical subjects
  • Calculus
  • Differential equations
Know first
  • Functions
  • Algebra
  • Trigonometry
What it unlocks
  • Continuous models
  • Wave equations
  • Optimisation

Clear answers

Questions about Integral

What does Integral mean in mathematics?

A mathematical construction representing accumulation; a definite integral is the signed limit of sums over an interval.

How is Integral written?

A common notation is ∫ₐᵇf(x)dx.

What is an example of Integral?

∫₀²x dx=2.

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