Nội dung text Day 13 - Integral Calculus 2.pdf
DAY 13: INTEGRAL CALCULUS 2 A logo with a white letter Description automatically generated LECTURE OUTLINE • Volumes using Integration • Length of Arc • Surface Area The road to success is always under construction.
DAY 13: INTEGRAL CALCULUS 2 VOLUMES USING INTEGRATION The road to success is always under construction. 1. Choice of Differential Strip When solving values derived from the bounded area, the choice of differential strips can make the procedure much easier or much harder. A good differential strip is one in which endpoints do not both touch the curve. Consider the area bounded by the parabola and the x-axis, A vertical differential strip is feasible since its top end is on the parabola, and the bottom end is on the x-axis. A horizontal differential strip is impractical since its sides are both on the parabola. A logo with a white letter Description automatically generated