Topic explanation

Standard explanation

Area between y=f(x) and x-axis is integral f(x)dx where f>=0; split where sign changes.

Key points

• Area under a curve
• rule
• worked example
• Area under a curve: Area between y=f(x) and x-axis is integral f(x)dx where f>=0; split where sign changes.
• CONCEPT AND RULE: Area between y=f(x) and x-axis is integral f(x)dx where f>=0; split where sign changes.
• METHOD: For area under a curve, identify the given information and required result. Select the matching defi
• Area between y=f(x) and x-axis is integral f(x)dx where f>=0; split where sign changes.
• Worked pattern: Area under y=x from 0 to 3 is 92.

Labelled diagram