Mathematics for Economists

Chapter 7 : Integrals

By Lund University

This chapter introduces integrals and anti-derivatives, also called primitive functions or indefinite integrals. If you differentiate an anti-derivative you will come back to the function you started with. We will look at the connection between integrals, which is an area under the graph of the function, and the anti-derivative of the function.

Integrals

We begin this section by introducing an integral as an area below the graph of a given function. Integrals are calculated by first finding the anti-derivative of the function. We will look at a few rules of finding anti-derivatives and look at how to calculate integrals using these anti-derivatives.

Definite integrals

Calculating integrals using WolframAlpha

Antiderivative

Finding antiderivatives

Definite integrals, rules

Integrals: Problems

Exercises on integrals

Problem: Find indefinite integrals

Problem: Find indefinite integrals

Problem: Find cost function form marginal cost

Problem: Find indefinite integrals

Problem: Find indefinite integrals

Problem: Find area under the graph

Problem: Find area under the graph

Problem: Find area under the graph

Problem: Find area under the graph

Problem: Find definite integrals

Problem: Find definite integrals