- Understand and apply the net change theorem to calculate how quantities change over an interval
- Use integration formulas to calculate the integrals of odd and even functions
Exploring Integrals: From Basic Formulas to Advanced Applications
In this activity, we will delve into the world of integrals, a fundamental concept in calculus with diverse applications. From finding antiderivatives and calculating displacement to determining the properties of functions and evaluating definite integrals, integrals play a crucial role in understanding and solving real-world problems. This series of exercises will guide you through the process of evaluating indefinite integrals, applying the net change theorem, and exploring the behavior of functions through integration.