Integral Calculus (MATH 106)

Definition of Integration and principles of integrals, finding areas and volumes, the length of the curve for a defined function, sequences, and series.

Total Lessonses 33 Total hours : 17:40:56 Duration Of Course 17 weeks
  • About the Course :

    The Definite Integrals, Fundamental Theorem of Calculus, The Indefinite Integrals, Change of Variables, Numerical Integration, Area, Volume of Revolution, Work, Arc Length, Differentiation and 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, and Polar Coordinates.



  • You Will Learn :

    Antiderivatives and Indefinite Integrals, Change of Variables in Indefinite Integrals, Summation Notation and Area, The Definite Integral, Properties of the Definite Integral, The Fundamental Theorem of Calculus, Numerical Integration, The Natural Logarithm Function, The Exponential Function, Integration Using Natural Logarithm and Exponential Function, General Exponential and Logarithmic Functions, Inverse Trigonometric Functions, Hyperbolic and Inverse Hyperbolic Functions, Indeterminate Forms and l'Hopital's Rule, Integration by parts, Trigonometric Integrals, Trigonometric Substitutions, Integrals of Rational Functions (Partial fractions), Quadratic Expressions and Miscellaneous Substitutions, Improper Integrals, Area Between Curves, Volume (By Disk or Washer), Volume (By Cylindrical Shells), Arc Length and Surfaces of Revolution.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MATH 106
    * University Name : King Saud University



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Student Assignments

1 Homeworks
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1 Quizs
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2 Exmas
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Total Lessonses 33 Total Hours 17:40:56 Duration Of Course 17 weeks
Antiderivatives and Indefinite Integrals
1 Lessons 0:29:25
Antiderivatives and Infinite Integrals
0:29:25
Show
Recorded Session
Summation Notation and Area
2 Lessons 0:38:47
Summation Notation part 1
0:22:36
Show
Recorded Session
Summation Notation part 2
0:16:21
Show
Recorded Session
Remian Sum and Definite Integrals
1 Lessons 0:38:49
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
The Definite Integral
2 Lessons 1:45:52
Integrals
1:22:52
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Change of Variables in Indefinite Integrals
4 Lessons 2:16:32
Indefinite Integrals part1
0:21:07
Closed
Recorded Session
Indefinite Integrals part 2
0:29:54
Closed
Recorded Session
Indefinite Integrals part 3
0:14:01
Closed
Recorded Session
Indefinite Integratioon and the NET ChangeTheorem
1:11:30
Closed
Recorded Session
Numerical Integration and Properties of the Definite Integral
1 Lessons 0:21:27
Numerical Integrals
0:21:27
Closed
Recorded Session
The Fundamental Theorem of Calculus
1 Lessons 0:35:37
The Fundamental Theorem of Calculus
0:35:37
Closed
Recorded Session
The Natural Logarithm Function
1 Lessons 0:13:57
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
The Exponential Function
1 Lessons 0:14:53
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Integration Using Natural Logarithm and Exponential Function
1 Lessons 0:25:03
Integration Using Natural Logarithms
0:25:03
Closed
Recorded Session
Integrals of General Exponential and Logarithmic Functions
2 Lessons 1:02:52
Integration Using Exponential Functions Part 1
0:48:25
Closed
Recorded Session
Integration Using Exponential Functions Part 2
0:14:27
Closed
Recorded Session
Inverse Trigonometric Functions
1 Lessons 0:34:55
Integration of Inverse Trigonometric Functions
0:34:55
Closed
Recorded Session
Hyperbolic and Inverse Hyperbolic Functions
2 Lessons 0:34:33
Hyperbolic Functions
0:26:25
Closed
Recorded Session
Inverse Hyperbolic Functions
0:08:08
Closed
Recorded Session
Indeterminate Forms and l'Hopital's Rule
1 Lessons 0:37:23
Hospital Rule
0:37:23
Closed
Recorded Session
Integration By Parts
1 Lessons 0:29:07
Integration By Parts
0:29:07
Closed
Recorded Session
Trigonometric Integrals
1 Lessons 0:38:44
Trigonometric Integrals
0:38:44
Closed
Recorded Session
Trigonometric Substitutions
1 Lessons 0:28:32
Trigonometric Substiution
0:28:32
Closed
Recorded Session
Integrals of Rational Functions (Partial Fractions)
3 Lessons 1:20:25
Integration of Rational Functions
0:30:08
Closed
Recorded Session
Partial Fraction Part 1
0:24:01
Closed
Recorded Session
Partial Fraction part 2
0:26:16
Closed
Recorded Session
Quadratic Expressions and Miscellaneous Substitutions
1 Lessons 0:24:00
Integration involving Quadratic Form
0:24:00
Closed
Recorded Session
Improper Integrals
1 Lessons 0:16:13
Improper Integrals
0:16:13
Closed
Recorded Session
Area Between Curves
1 Lessons 0:30:03
Applications of Integration Area Between Two Curve
0:30:03
Closed
Recorded Session
Volume (By Disk or Washer)
1 Lessons 0:31:31
Volumes
0:31:31
Closed
Recorded Session
Volume (By Cylindrical Shells)
1 Lessons 0:22:02
Volumes By Cylindrlcal Shelis
0:22:02
Closed
Recorded Session
Arc Length and Surfaces of Revolution
1 Lessons 0:15:17
Arc Length and Curvature
0:15:17
Closed
Recorded Session
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  • 252 Courses 0 Rates 1 Students

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job