This course covers topics such as finding initial velocity, applications of antiderivatives, definite and indefinite integrals, U substitution, explicit substitution, finding the area between curves, integration by parts, trigonometric integrals, trigonometric substitution, and techniques of integration. The teaching method includes solving mathematical problems and working through examples. The intended audience for this course is students studying advanced calculus or mathematics.
Overview
Syllabus
A Car Brakes with a Constant Deceleration:: Find Initial Velocity :: Applications of Antiderivatives.
Fundamental Theorem of Calculus Part 1 :: Finding Derivatives.
Definite Integral of Piecewise Function.
Indefinite Integral of x^(1/3) + 1/(x^(1/3)).
Indefinite Integral of ((1+r)/r)^2.
Integral of (x-1)e^((x-1)^2) :: U Substitution :: Explicit Substitution.
Integral of x/sqrt(1+2x) from 0 to 4 | U Substitution | Explicit Substitution.
Find the Area Between the Curves | y = cos(x) and y = 2-cos(x).
Amount of Work to Pump Water Out of a Spherical Tank With 3 Meter Radius.
Integration by Parts :: Integral of arctan(1/x) from 1 to sqrt(2)..
Integral of csc^5(theta) cos^3(theta) :: Trigonometric Integrals.
Trigonometric Substitution Definite Integral :: sqrt(1-4x^2).
Integral of sec^2(y) cos^3(tan(y)) :: Trigonometric Integrals.
Stewart Calculus Section 7.5 Odd Problems #9-31 :: Techniques of Integration Examples.
Stewart Calculus 7th Edition Section 7.5 :: Even Problems 2 - 32.
∫x^2 dx from 0 to 1... Using a different approach!.
2021 Integration Bee Integral.
Taught by
Jonathan Walters
