You may also like

problem icon

Area L

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

problem icon

Integral Equation

Solve this integral equation.

problem icon

Integral Inequality

An inequality involving integrals of squares of functions.

Integral Sandwich

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2
You might find it useful to sketch a graph. The graph of $f(x)$ can take any shape but the inequalities tell you it is sandwiched between the axes and some other graph, so you can deduce something about the area under the graph of $f(x)$ and hence about the integral.