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Area L

Draw the graph of a continuous increasing function in the first quadrant and horizontal and vertical lines through two points. The areas in your sketch lead to a useful formula for finding integrals.

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Integral Equation

Solve this integral equation.

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Integral Sandwich

Generalise this inequality involving integrals.

Calculus Countdown

Stage: 5 Challenge Level: Challenge Level:1
To begin with, try acting on the starting functions with various operators to see the sorts of possibilities that occur.

To hit a target, think what functions would be needed to make them in one step. How might I arrive at these inputs?