Integration 1 (AQA A-Level Further Maths): Quizzes

📚Quizzes
Mean Values
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is the formula for the mean value of f(x)f(x) over interval [a,b][a,b]?

1baabf(x)dx\frac{1}{b-a}\int_a^b f(x)\,dx

What does the mean value geometrically represent?

Height of rectangle with same area

What appears in the denominator of the mean value formula?

The interval width (ba)(b-a)

What is the most common error when calculating mean values?

Forgetting to divide by (ba)(b-a)

What is the shortcut formula for mean acceleration from velocity?

v(b)v(a)ba\frac{v(b)-v(a)}{b-a}

What should you do with surds before integrating for mean value?

Rewrite using fractional indices

What does the mean value represent conceptually?

Average height of the function

To what type of functions does the Mean Value Theorem apply?

Any continuous function

In mean velocity calculation, what variable is typically integrated over?

Time tt

What is the first step in calculating a mean value?

Integrate the function over the interval

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.