Integral Equation

Solve this integral equation.

Integral Sandwich

Generalise this inequality involving integrals.

Integral Inequality

An inequality involving integrals of squares of functions.

Area L

Stage: 5 Challenge Level:

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?