GRADE 12 · MATHEMATICS · TOPIC 8

Applications of Integrals

A definite integral can calculate area beneath a nonnegative curve.

CONCEPT EXPLAINED

Understand the concept

A definite integral can calculate area beneath a nonnegative curve.

SOLVED EXAMPLE

Integral from 0 to 2 of x dx

  1. Step 1: Antiderivative x²/2
  2. Step 2: evaluate 2²/2−0.

Final answer: 2 square units

PRACTISE YOURSELF

Integral 0 to 1 of 2x dx

Show the answer

1

Try another similar question and explain each step aloud. Refer to your school syllabus for topic level and notation.