Lesson: Properties of Definite Integrals Mathematics • Third Year of Secondary School

Students will be able to

• understand the effect of reversing the limits of integration,
• understand how to add and subtract the limits of integration for adjacent intervals,
• understand the zero-width property of integration,
• understand how to manipulate integrals containing the sum (or difference) of two continuous functions,
• understand how to manipulate integrals that contain a constant multiple in the integrand,
• understand comparison properties of integrals, that is, how to compare integrals of two functions using a given relationship (i.e., ),
• understand the maximum and minimum inequality property of integrals,
• understand how to manipulate integrals of odd and even functions.