Integration of Vector Functions (Calculus 3)

This Calculus 3 video on integration of vector functions shows you how to work indefinite integrals, definite integrals, and find velocity and position functions given acceleration. We begin by explaining how integration of vector functions is completed component wise, and we work two examples of indefinite integrals, explaining various ways to handle the constants of integration. Next we show you how to compute definite integrals of vector functions, ending up with a constant vector. Finally, we give a vector function that represents acceleration and show you how to use conditions to find the particular solutions for velocity and position. 0:00 Introduction 0:35 Indefinite Integral - Example 1 3:02 Indefinite Integral - Example 2 4:58 Definite Integrals & Example 9:17 Finding position/velocity from acceleration Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8