This calculus video tutorial provides examples of basic integration rules with plenty of practice problems. It explains how to find the definite and indefinite integral of polynomial functions, exponenial functions, rational functions, trigonometric functions, and square root / radical functions. It also helps you to find the value of the definite integral / area under the curve using riemann sum left and right endpoints along with the midpoint rule, trapezoidal rule, and the simpson's rule. In addition, it explains how to calculate the integral using the limit definition with sigma notation / summation. Finally, this video discusses the fundamental theorem of calculus part 1 and part 2.
Antiderivatives:
• Antiderivatives
Basic Integration Problems:
• Basic Integration Problems
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Solutions of Diffe...
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Properties of Definite Integrals:
• Properties of Definite Integrals Ba...
Rectilinear Motion Problems:
• Rectilinear Motion Problems Distanc...
Sigma Notation Calculus:
• Summation Formulas and Sigma Notation...
Riemann Sums Area:
• Riemann Sums Left Endpoints and Rig...
The Midpoint Rule:
• Midpoint Rule & Riemann Sums
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Finding Area Limit Definition:
• Finding The Area Using The Limit Defi...
Definite Integrals Geometry:
• Evaluating Definite Integrals Using G...
Fundamental Theorem Part 1:
• Fundamental Theorem of Calculus Part 1
Fundamental Theorem Part 2:
• Fundamental Theorem of Calculus Part 2
Net Change Theorem:
• Net Change Theorem Calculus Word Pr...
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