# Integration definite integral

Merced Community College DistrictIntroduction to IntegrationPart 2: The Definite IntegralShairy Balicaoc 2016 Merced CollegeMerced Community College District, Merced College, 20161IntroductionThis unit deals with the definite integral. It explains how it is defined, how it is calculated and someof the ways in which it is used.We shall assume that you are already familiar with the process of finding indefinite integralsor primitive functions (sometimes called anti-differentiation) and are able to ‘antidifferentiate’a range of elementary functions. If you are not, you should work through Introduction toIntegration Part I: Anti-Differentiation, and make sure you have mastered the ideas in itbefore you begin work on this unit.1.1ObjectivesBy the time you have worked through this unit you should:• Be familiar with the definition of the definite integral as the limit of a sum;• Understand the rule for calculating definite integrals;• Know the statement of the Fundamental Theorem of the Calculus and understand what it means;• Be able to use definite integrals to find areas such as the area between a curve and the x-axis andthe area between two curves;• Understand that definite integrals can also be used in other situations where the quantityrequired can be expressed as the limit of a sum.2Finding AreasAreas of plane (i.e. flat!) figures are fairlyeasy to calculate if they are bounded by straightlines.The area of a rectangle is … Purchase document to see full attachment

Hello Good Friend
40% OFF on your Assignments.