You may also like

problem icon

Integral Equation

Solve this integral equation.

problem icon

Integral Sandwich

Generalise this inequality involving integrals.

problem icon

Integral Inequality

An inequality involving integrals of squares of functions.

Area L

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Start by drawing a sketch of the graph of $f(x)$ for $a\leq x \leq b$.
What is represented by $bf(b) - af(a)$?
Which parts of the graph correspond to the integrals?