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تحميل الدليل التدريبي

أسئلة شائعة

Course Content

  The definite integrals, fundamental theorem of calculus, the indefinite integrals, change of variables, numerical integration. Area, volume of revolution, work, arc length. Differentiationand integration of inverse trigonometric functions. The logarithmic, exponential, hyperbolic and inverse hyperbolic functions. Techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, miscellaneous substitutions. Indeterminate forms, improper integrals. Polar coordinates

Prerequisite: M-140, M-150

Text Calculus (Third Edition)

Authors:  Smith & Minton


 Chapter 4:     

4.1. Antiderivatives

4.2. Sum & Sigma Notation

4.3. Area

4.4. The Definite Integral

4.5. The Fundamental Theorem of Calculus

4.6. Integration by substitution

4.7. Numerical Integration (Only Trapezoidal & Simpson


4.8. The Natural Lgarithm as integral

Chapter 6:

            6.2. Integration by parts

            6.3. Trigonometric Techniques of integration

            6.4. Integration of Rational Functions(partial fractions)

            6.6. Improper integrals

            6.1. Review Problems of integration by substitution &

                   Completing the Squares

Chapter 5:

            5.1. Area between curves

            5.2. Volume(By Disk or Washer)

            5.3. Volume(By Cylindrical Shell)

            5.4. Arc lenght and surface Area

Chapter 9:

             9.1. Plane Curves & Parametric Equations

             9.2. Calculus & Parametric Equations

             9.3. Arc lenght & Surface Area in Parametric Equations

             9.4. Polar Coordinates

           9.5. Calculus & Polar Coordinates

Reference Book:

     (1)     Calculus (Sixth Edition)

               Authors: Swokowski, Onlinck, and Pence.

      (2)        Calculus (Sixth Edition)

                Author: Larson, Hostetler, and Edwards

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