LaTech Math 242

Explore advanced calculus concepts through a comprehensive series of lectures covering applications of antiderivatives, fundamental theorem of calculus, definite and indefinite integrals, u-substitution, area between curves, work problems, integration by parts, trigonometric integrals, and various techniques of integration. Delve into real-world applications such as car braking with constant deceleration and pumping water from spherical tanks. Practice solving complex problems from Stewart Calculus and prepare for integration competitions with challenging examples.

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.