Fundamental Theorem of Calculus (Patreon)

Fundamental Thereom of Calculus Explained - Part 1 & 2 Examples - Definite Integral

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative. Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Continuity & Differentiability: https://www.youtube.com/watch?v=fml0-ELYLaE& Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Local Maximum & Minimum: https://www.youtube.com/watch?v=WCq3sRzsJfs L'Hopital's Rule: https://www.youtube.com/watch?v=Gh48aOvWcxw Curve Sketching With Derivatives: https://www.youtube.com/watch?v=JTVNUdL7sWs Newton's Method: https://www.youtube.com/watch?v=-5e2cULI3H8 Optimization Problems: https://www.youtube.com/watch?v=lx8RcYcYVuU ____________________________________________________________________________________ Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Basic Integration Problems: https://www.youtube.com/watch?v=zOxaUlRkFG0 Indefinite Integral: https://www.youtube.com/watch?v=JTFMeSCxgcA Definite Integral: https://www.youtube.com/watch?v=Gc3QvUB0PkI Differential Equations: https://www.youtube.com/watch?v=H5tD_NtPDuU Properties of Definite Integrals: https://www.youtube.com/watch?v=QcHz3h81U-s Rectilinear Motion Problems: https://www.youtube.com/watch?v=LBmET4sH460 Sigma Notation - Calculus: https://www.youtube.com/watch?v=XJkIaw2e1Pw Riemann Sums - Area: https://www.youtube.com/watch?v=YTKQswb60Pw The Midpoint Rule: https://www.youtube.com/watch?v=5XreKMJDJsg ____________________________________________________________________________________ Finding Area - Limit Definition: https://www.youtube.com/watch?v=ctEpKZyxqFU Definite Integrals - Geometry: https://www.youtube.com/watch?v=ghxEOz9rmwE Fundamental Theorem - Part 1: https://www.youtube.com/watch?v=aeB5BWY0RlE Fundamental Theorem - Part 2: https://www.youtube.com/watch?v=ns8N1UuXl4w Net Change Theorem: https://www.youtube.com/watch?v=df1Qr8pepx0 Mean Value Theorem - Integrals: https://www.youtube.com/watch?v=bLeglo-c5Tw Average Value of a Function: https://www.youtube.com/watch?v=MB1xDNKimNc U-Substitution - Indefinite Integrals: https://www.youtube.com/watch?v=sdYdnpYn-1o U-Substitution - Definite Integrals: https://www.youtube.com/watch?v=tM4RWc9ryx0 1st Order Differential Equations: https://www.youtube.com/watch?v=C7nuJcJriWM _____________________________________________________________________________________ Initial Value Problem: https://www.youtube.com/watch?v=kwGukY_2qWQ Area Between Two Curves: https://www.youtube.com/watch?v=kgg5Rspf1Js Disk and Washer Method: https://www.youtube.com/watch?v=SAHSVg7Jw_A Volume By The Shell Method: https://www.youtube.com/watch?v=D5sT1br9soI Volume By Cross Sections: https://www.youtube.com/watch?v=qMXPnfx2MQM Arc Length Calculus Problems: https://www.youtube.com/watch?v=DNDAwWIL5FY Surface Area of Revolution: https://www.youtube.com/watch?v=lQM-0Nqs9Pg Work Problems - Calculus: https://www.youtube.com/watch?v=TLw8xbmnY3c Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE _____________________________________________________________________________________ GPA Calculator: https://www.youtube.com/watch?v=qYHsThZWydY Save Money In College: https://www.youtube.com/watch?v=yNO02qfMSwI SAT Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Full Length Exams + Worksheets: https://bit.ly/4990rzU