Integral calculus Applications حساب التكامل وتطبيقاتها (106ريض للطلاب

تفاصيل المقرر
شرح مقرر ريض 106 لجامعة الملك سعود Math 106 حساب التكامل BOOK: [ Calculus by Swokowski, Olinick, Pence "Sixth Edition"] [ 4.1 ] Antiderivatives and Indefinite Integrals [ 4.2 ] Change of Variables in Indefinite Integrals [ 4.3 ] Summation Notation and Area [ 4.4 ] The Definite Integral [ 4.5 ] Properties of the Definite Integral [ 4.6 ] The Fundamental Theorem of Calculus [ 4.7 ] Numerical Integration [ 6.2 ] The Natural Logarithm Function [ 6.3 ] The Exponential Function Integration [ 6.4 ] Using Natural Logarithm and Exponential Function [ 6.5 ] General Exponential and Logarithmic function [ 6.7 ] Inverse Trigonometric Functions [ 6.8 ] Hyperbolic and Inverse Hyperbolic Functions [ 6.9 ] Indeterminate Forms and l'Hopital's Rule [ 7.1 ] Integration by parts [ 7.2 ] Trigonometric Integrals [ 7.3 ] Trigonometric Substitutions [ 7.4 ] Integrals of Rational Functions (Partial fractions) [ 7.5 ] Quadratic Expressions and Miscellaneous Substitutions [ 7.7 ] Improper Integrals [ 5.1 ] Area Between Curves [ 5.2 ] Volume (By Disk or Washer ) [ 5.3 ] Volume ( By Cylindrical Shells ) [ 5.5 ] Are Length and Surfaces of Revolution [ 9.1 ] Parametric Equations [ 9.2 ] Arc Length and Surface Area [ 9.3 ] Polar Coordinates [ 9.4 ] Integrals in Polar Coordinates (ملاحظة) (جميع الشباتر المذكورة تم شرحها) (مصدر التمارين من الكتاب المقرر و مذكرات الدكتورين الغامدي و الفاضل) BOOK: [ Calculus by Swokowski, Olinick, Pence "Sixth Edition"]----------------------------------------------------------------------- [ 4.1 ] Antiderivatives and Indefinite Integrals ------------------------------------------------------------------------------------------------ [ 4.2 ] Change of Variables in Indefinite Integrals ------------------------------------------------------------------------------------------- [ 4.3 ] Summation Notation and Area ----------------------------------------------------------------------------------------------------------- [ 4.4 ] The Definite Integral ------------------------------------------------------------------------------------------------------------------------ [ 4.5 ] Properties of the Definite Integral ------------------------------------------------------------------------------------------------------- [ 4.6 ] The Fundamental Theorem of Calculus ----------------------------------------------------------------------------------------------- [ 4.7 ] Numerical Integration ----------------------------------------------------------------------------------------------------------------------- [ 6.2 ] The Natural Logarithm Function --------------------------------------------------------------------------------------------------------- [ 6.3 ] The Exponential Function Integration -------------------------------------------------------------------------------------------------- [ 6.4 ] Using Natural Logarithm and Exponential Function -------------------------------------------------------------------------------- [ 6.5 ] General Exponential and Logarithmic function --------------------------------------------------------------------------------------- [ 6.7 ] Inverse Trigonometric Functions -------------------------------------------------------------------------------------------------------- [ 6.8 ] Hyperbolic and Inverse Hyperbolic Functions ----------------------------------------------------------------------------------------- [ 6.9 ] Indeterminate Forms and l'Hopital's Rule ----------------------------------------------------------------------------------------------- [ 7.1 ] Integration by parts ------------------------------------------------------------------------------------------------------------------------ [ 7.2 ] Trigonometric Integrals ------------------------------------------------------------------------------------------------------------------- [ 7.3 ] Trigonometric Substitutions --------------------------------------------------------------------------------------------------------------- [ 7.4 ] Integrals of Rational Functions (Partial fractions) ------------------------------------------------------------------------------------ [ 7.5 ] Quadratic Expressions and Miscellaneous Substitutions -------------------------------------------------------------------------- [ 7.7 ] Improper Integrals ---------------------------------------------------------------------------------------------------------------------------- [ 5.1 ] Area Between Curves ----------------------------------------------------------------------------------------------------------------------- [ 5.2 ] Volume (By Disk or Washer ) -------------------------------------------------------------------------------------------------------------- [ 5.3 ] Volume ( By Cylindrical Shells ) ---------------------------------------------------------------------------------------------------------- [ 5.5 ] Are Length and Surfaces of Revolution ------------------------------------------------------------------------------------------------ [ 9.1 ] Parametric Equations ------------------------------------------------------------------------------------------------------------------------ [ 9.2 ] Arc Length and Surface Area ------------------------------------------------------------------------------------------------------------- [ 9.3 ] Polar Coordinates --------------------------------------------------------------------------------------------------------------------- [ 9.4 ] Integrals in Polar Coordinates ------------------------------------------------------------------------------------------------------------- (ملاحظة) (جميع الشباتر المذكورة تم شرحها) (مصدر التمارين من الكتاب المقرر و مذكرات الدكتورين الغامدي و الفاضل)

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