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 Sandwich

Generalise this inequality involving integrals.

Curved Square

Stage: 5 Challenge Level: Challenge Level:1
You can solve this using basic properties of areas of circles, coordinate geometry and Pythagoras's theorem or simple trigonometry.
This worksheet suggests a possible method.

You can also solve it using calculus.
This worksheet suggests a possible method.