3Blue1Brown
What does area have to do with slope? | Chapter 9, Essence of calculus
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
3Blue1Brown
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
3Blue1Brown
Integration and the fundamental theorem of calculus: Essence of Calculus - Part 8 of 11
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
3Blue1Brown
What does area have to do with slope? Essence of Calculus - Part 9 of 11
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
Brian McLogan
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Apply the FTOC to evaluate the integral with functions as the bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Learn how to find the derivative of the integral
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Learn to evaluate the integral with functions as bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Second ftc example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
How to evaluate the definite integral of absolute value
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Second FTC example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
How to apply the 2nd ftc with secant squared
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Evaluate the partial integral given two integrans
👉 Learn how to evaluate the integral of separated functions. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a...
Professor Dave Explains
The Fundamental Theorem of Calculus: Redefining Integration
Defining the fundamental theorem of calculus.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
Krista King Math
Fundamental Theorem of Calculus Part 2
Use the Fundamental Theorem, not just look at it. Learners watch as the video walks viewers through finding the definite integral of a trigonometric function. The presenter provides helpful suggestions as she evaluates the example...
Krista King Math
Part 1 of the Dreaded Fundamental Theorem of Calculus!
Use the Fundamental Theorem of Calculus to find a derivative. With an example, pupils observe how being to derive a formula to help determine the derivative of any given integral. The video derives the formula using the first part of the...
Crash Course
Newton and Leibniz: Crash Course History of Science #17
The scientific revolution went out with a bang, thanks to some impressive intellectuals! Newton's and Leibniz's noteworthy discoveries unfold in the 17th installment in a lengthy History of Science series. Viewers witness the birth of...
3Blue1Brown
Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance...
3Blue1Brown
Essence of Calculus, Chapter 1
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
3Blue1Brown
What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
Educator.com
The Second Fundamental Theorem of Calculus
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to...
Khan Academy
Khan Academy: Calculus: Definite Integrals (Area Under a Curve) (Part Iii)
Video lesson explaining why the antiderivative is the area under a curve. Provides an introduction to the fundamental theorem of calculus. [9:46]