In this PowerPoint, we introduce the concept of integration of functions. We begin by illustrating the algebraic relation between differentiating and integrating functions, namely the similarities of both techniques and then use the “anti-derivative” or indefinite integral of a function to apply limits in the domain and hence obtain the area enclosed between the graph and the x-axis.
Afterwards, we also explain how to obtain the area enclosed between two curves and extend that to the study of “volumes of revolution”, both around the x-axis and around the y-axis.
Additionally, we explore different examples of worked exam-style questions, where all steps are clear and detailed.
Hopefully, this resource can help students in their preparation for examinations and can also be used as a complementary teaching tool, when delivering these topics.
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