Topic explanation

Standard explanation

If F'=f, integral_a^b f(x)dx=F(b)-F(a); no +C remains.

Key points

• Definite integrals
• rule
• worked example
• Definite integrals: If F'=f, integral_a^b f(x)dx=F(b)-F(a); no +C remains.
• CONCEPT AND RULE: If F'=f, integral_a^b f(x)dx=F(b)-F(a); no +C remains.
• METHOD: For definite integrals, identify the given information and required result. Select the matching defi
• If F'=f, integral_a^b f(x)dx=F(b)-F(a); no +C remains.
• Worked pattern: Integral0² 3x² dx=[x³]0²=8.

Labelled diagram