Latest Proofs Podcast Episodes
A Definite Integral Requiring u-Substitution (5.2 p 330 #51)
Mathorama - January 23, 2021 17:33 - Video ★★★★★ - 1 ratingA Definite Integral Requiring u-Substitution (5.2 p 330 #51)
Another Slope Field and Differential Equation with Natural Logs (5-2 p330 #50)
Mathorama - January 20, 2021 16:04 - Video ★★★★★ - 1 ratingAnother Slope Field and Differential Equation with Natural Logs (5-2 p330 #50)
Slope Fields and Differential Equations with Natural Logs (5-2 p330 #49)
Mathorama - January 20, 2021 15:45 - Video ★★★★★ - 1 ratingSlope Fields and Differential Equations with Natural Logs (5-2 p330 #49) A slope field and a diffyQ checked with the TI-84
A u-Sub Involving Natural Log ln x (5-2 p330 #49)
Mathorama - January 20, 2021 15:38 - Video ★★★★★ - 1 ratingA u-Sub Involving Natural Log ln x (5-2 p330 #49)
Long Division AND u-Substitution help this Integral (5-2 p330 #21)
Mathorama - January 19, 2021 18:04 - Video ★★★★★ - 1 ratingLong Division AND u-Substitution help this Integral (5-2 p330 #21)
Long Division Before Integrating (5-2 p330 #17)
Mathorama - January 19, 2021 17:41 - Video ★★★★★ - 1 ratingLong Division Before Integrating (5-2 p330 #17) This one looks like a difficult u-sub, but turns out to be easy after long division!
Differentiating Using Logarithms Instead of the Quotient Rule (5-1 p322 #79)
Mathorama - January 19, 2021 17:00 - Video ★★★★★ - 1 ratingDifferentiating Using Logarithms Instead of the Quotient Rule (5-1 p322 #79)
A Tangent Line Confirmed with the TI-84 (5-1 p322 #69)
Mathorama - January 11, 2021 23:46 - Video ★★★★★ - 1 ratingA Tangent Line Confirmed with the TI-84 (5-1 p322 #69) We confirm our result with the (DRAW)(5:Tangent) feature on the TI-84
Taking the Derivative of a Log Function (5-1 p322 #55)
Mathorama - January 11, 2021 22:34 - Video ★★★★★ - 1 ratingTaking the Derivative of a Log Function (5-1 p322 #55) We use the quotient rule together in this example.
U-substitution with a Definite Integral (4-R p310 #67)
Mathorama - January 11, 2021 18:51 - Video ★★★★★ - 1 ratingU-substitution with a Definite Integral (4-R p310 #67) When you use u-substitution with a definite integral, you don't have to switch back to make an expression in terms of x. Since any definite integral is the signed area, it is just a number. After finding the anti-derivative in terms of y...
Using the u-substitution Technique with an Indefinite Integral (4-R p301 #59)
Mathorama - January 11, 2021 16:05 - Video ★★★★★ - 1 ratingUsing the u-substitution Technique with an Indefinite Integral (4-R p301 #59) A basic example of how to integrate something that looks like a product, where one factor has something in common with the derivative of the other factor.
Basic Use of the First Fundamental Theorem (4-R p 310 #41)
Mathorama - January 11, 2021 15:41 - Video ★★★★★ - 1 ratingBasic Use of the First Fundamental Theorem (4-R p 310 #41) Here we use the First Fundamental Theorem of Calculus to evaluate a definite integral, and we will check our work with a TI-84 calculator,
Riemann Sums to Estimate an Integral (4-R p 309 #25)
Mathorama - January 11, 2021 15:20 - Video ★★★★★ - 1 ratingRiemann Sums to Estimate an Integral (4-R p 309 #25) Here we use left and right Riemann sums to get the upeer and lower bounds on an integral. We can then use the TI-84 to check our work.
Mean Value Theorem for Integrals with the TI-84 (4-5#85)
Mathorama - January 10, 2021 16:57 - Video ★★★★★ - 1 ratingMean Value Theorem for Integrals with the TI-84 (4-5#85) Estimating Average Sales with t he TI-84 and the Mean Value Theorem for Integrals (4-5#85)
Is the Alternating Series Remainder Theorem Not Working?
Mathorama - December 29, 2020 17:00 - Video ★★★★★ - 1 ratingThis appears to be a counter example that would disprove the Alternating Series Remainder Theorem....
A u-Substitution Using the Same U Formula Two Ways (4.5 p. 306 #57)
Mathorama - December 09, 2020 17:42 - Video ★★★★★ - 1 ratingA u-Substitution Using the Same U Formula Two Ways (4.5 p. 306 #57)
Using the TI-84 to Explore Some Accumulator Functions (4-5 p 307 #87)
Mathorama - December 08, 2020 05:33 - Video ★★★★★ - 1 ratingUsing the TI-84 to Explore Some Accumulator Functions (4-5 p 307 #87) The Calculator can compute the area between the x-axis and the blue function using brute force. We notice some relationships between them and spot points of inflection and extrema.
A Definite Integral with u-Substitution (4-5 p 305 #61)
Mathorama - December 08, 2020 04:50 - Video ★★★★★ - 1 ratingA Definite Integral with u-Substitution (4-5 p 305 #61). This one has a surprising result!
Some Complicated Integrals That Are Easier than they Appear! (4-5 p 307 #81)
Mathorama - December 08, 2020 04:32 - Video ★★★★★ - 1 rating4-5 p 307 #81 Some Complicated Integrals That Are Easier than they Appear! 4-5 p 307 #81 Some Complicated Integrals That Are Easier than they Appear! U-substitution to the rescue!
Using the Chain Rule with an Accumulator Function (4-4 p294 #83, 85)
Mathorama - December 08, 2020 03:53 - Video ★★★★★ - 1 ratingUsing the Chain Rule with an Accumulator Function (4-4 p294 #83, 85) If the derivative of the upper limit has a derivative more complicated than 1, then your better use the chain rule!
An Accumulaotr function without a constant 4-4 (p. 294 #81)
Mathorama - December 08, 2020 03:45 - Video ★★★★★ - 1 ratingAn Accumulaotr function without a constant 4-4 (p. 294 #81) Without one of the limits being a constant, you can't use the 2nd FTC... what to do? Invent one!
An Accumulation function (4.4 p. 293# 67)
Mathorama - December 08, 2020 03:18 - Video ★★★★★ - 1 ratingAn Accumulation function (4.4 p. 293# 67) An Accumulation function is a function that is a function of the accumulation of area under a curve. A nice feature is that the derivative is based on the integrand itself
Estimating a Definite Integral (4.3 p278 #53)
Mathorama - December 07, 2020 01:51 - Video ★★★★★ - 1 ratingEstimating a Definite Integral (4.3 p278 #53) Estimating a definite integral with the area of rectangles.
Properties of Integrals (4.3 p 279 #49)
Mathorama - December 05, 2020 21:51 - Video ★★★★★ - 1 ratingProperties of Integrals (4.3 p 279 #49) Here we demonstrate breaking apart integrals, changing the limits and capitalizing the properties of odd and even functions.
Review of Sigma Sums (4.2 p 267 #9, 22)
Mathorama - December 05, 2020 20:35 - Video ★★★★★ - 1 ratingReview of Sigma Sums (4.2 p 267 #9, 22) We explain some useful sum formulas, work some examples, then show how to use the TI-84 to confirm our result.
A Particle Moves along the x-Axis (4.1 p. 256 #65)
Mathorama - December 05, 2020 19:58 - Video ★★★★★ - 1 ratingA Particle Moves along the x-Axis (4.1 p. 256 #65) We often have this one-dimensional particle that moves along the x-axis as an AP exam question, and a number of things can be surmised fromthe first and second derivatives....
How High Will It Go (in Europe) (4.1 p. 256) # 60
Mathorama - December 05, 2020 19:17 - Video ★★★★★ - 1 ratingHow High Will It Go (in Europe) (4.1 p. 256) # 60 This time we find the maximum height of a ball thrown into the air in meters. All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 9.8 meter per second per second.
How High will It Go? (4.1 (p 256 #57)
Mathorama - December 05, 2020 18:38 - Video ★★★★★ - 1 ratingHow High will It Go? (4.1 (p 256 #57) We find the maximum height of a ball thrown into the air. All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 32 feet per second per second.
A Particular Antiderivative (4.1 (p.255) #44
Mathorama - December 05, 2020 08:08 - Video ★★★★★ - 1 ratingA Particular Antiderivative (4.1 (p.255) #44 Antiderivatives usually have a " + C" but given some particular points, we can find a particular solution.
Some Basic Antiderivatives (4.1 p. 255 27, 31, 33)
Mathorama - December 05, 2020 03:53 - Video ★★★★★ - 1 ratingSome Basic Antiderivatives (4.1 p. 255 27, 31, 33) Some antiderivatives for beginners. Don't forget there is usually a nice table of anti derivatives on the inside cover of your textbook. These are General solutions we add a C (for an arbitrary constant) to describe all the functions that hav...
Related Proofs Topics
- Printing 2
- Industry 2
- Graphic 2
- Communications 2
- Workflow 2