Risps for AS Level Core: Integration

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Two RISP activities designed for students to explore or consolidate ideas about integration.

Introducing e requires students to use a graphing package to explore a variety of functions of the form y equals x to the power of n and attempt to find the value for k for which the area under the graph between 0 and k is exactly one. Students are then asked to explore different properties of this family of functions leading to a definition of the exponential function.

The answer’s 1: what’s the question?  gives students a number of graphs containing shaded areas enclosed by two functions. Given that the enclosed area has a value of one, students are asked to find the equations of the functions.

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