# FINAL PROJEK CALCULUS (GROUP8).pdf - FACULTY OF CIVIL...

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FACULTY OF CIVIL ENGINEERING AND BUILTENVIRONMENTBFC 15003CIVIL CALCULUSPROJECT GROUP 8NAMEMATRIC NOMUHAMAD ZARIF EMAN BIN ZABRIAF200099MARWAN NASRALDEENAF200213SITI NOR AMALINI BINTI HASSANCF200249PALESLY BINIUSCF200021MAHAMAT OUMAR HAROUNAF200208SECTION: 8SEMESTER/SESSION: 1/2020LECTURER’S NAME: DR. ADEL ALI SAEED ABDUHALGHEETHIDATE SUBMIT: 7 JANUARY 2021MARKAHTUGASAN
3INTRODUCTIONIn this project, application of differentiation and integration in civil engineeringfield. The aim of this project is to find speed of traffic located at Site B, in front of BHPetrol,TamanUniversiti.DifferentiationandIntergrationaretwofundamentalconcepts in calculus, which studies the change. Differentiation, in mathematics,process of finding the derivative, or rate of change, of a function. In contrast to theabstract nature of the theory behind it, the practical technique of differentiation can becarried out by purely algebraic manipulations, using three basic derivatives, four rulesof operation, and a knowledge of how to manipulate functions. The three basicderivatives are for algebraic functions is which any real number, for trigonometricfunctions and for exponential functions.The other basic rule, called the chain rule,provides a way to differentiate a composite function. Also, derivative of a function isthe slope or the gradient of curve(graph) at any point that has given. Gradient of acurve at any given point is the gradient of the tangent drawn to that curve at the givenpoint. For non-linear curve, the gradient of the curve can be different points along theaxis. Differentiation process is useful in calculating the gradient of the curve at anypoint. After acquiring the understanding of differention in this chapter, the studentswill be exposed to some of applications on differentiation. Below is differentiationequation :-Furthermore,integration is the process of calculating either definite integral orindefinite integral. For a real function f(x) and a closed interval [a,b] on the real line,the definite integral is define as the area between the graph of the function, thehorizontal axis and the two vertical lines at the end points of an interval. Whenspecific reverse method to differentiation, and has wide applications, for instance, inthis case, areas beneath curves needs to be find. This section explains what's meant byintegration and provides several customary integration techniques.Below is integralequation: -
4Integration and Differentiation are two fundamental concepts in calculus, whichstudies the change. The knowledge of calculus functions is important because it iswidely used in science, engineering, computer science, economy, medicine and etc.

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