Topic explanation

Standard explanation

Average value on [a,b] is (1b-a) integral_a^b f(x)dx.

Key points

• Average value of a function
• rule
• worked example
• Average value of a function: Average value on [a,b] is (1b-a) integral_a^b f(x)dx.
• CONCEPT AND RULE: Average value on [a,b] is (1b-a) integral_a^b f(x)dx.
• METHOD: For average value of a function, identify the given information and required result. Select the matc
• Average value on [a,b] is (1b-a) integral_a^b f(x)dx.
• Worked pattern: Average of x² on [0,3] is (13)[x^frac33]₀³=3.

Labelled diagram