How to use Calculus to solve a basic math problem

TabletClass Math:


Math Notes:

[thomasjohnson]

Finally an explaination that is clear! I have spent years reading and studying in an effeort to find an explaination that makes the subject of integration understandable. Thank you. I would like to call attention to what I found to be confusing. There is a prectice of drawing a squiggly line and then refer to the "x" axis as representing the boundary to the irregulare line. In fact the irregular line is a "function" that is integrated. It is NOT just a squiggly line!

[HDTokyoAviation]

It's unbelievable how good you are at simplifying and teaching such a complex topic

[andyt.]

I must say you are so talented in how you speak to really make things simple…!…Thx…!!!

[johnsparrow]

It is a 2 second job. Consider it a 3x4 rectangle the area is 12, divide by 2 and the triangle area is 6.

[avscuba]

Thanks for enthusiasm towards math. And I love your 80's references. Math and Physics were my favorite courses in high school. Went on to college for Computer Science, but also got a math minor. I love watching the videos!

[oluwafemiakindele]

Your simple to learn and understanding the basics had exposed the problems of over 25 yes on how to understand this process of calculus. If I had had you earlier in my schooling, I would have been great in mathematics. Tanks

[qvddexk]

I actually had calculus 1 & 2 way back when - I know this is a simple integral but when you did it I found out if you don't use it you lose it. I can't wait to see more calculus from I may have to get myself a graphing - 84 hint hint to follow along. The other graphing calculators I are half the price but colleges use this one the most so students can follow along.... even if they switch schools.

[pennstatefan]

It's an easy problem to solve. Take the integral of the function f(x) = 3/4x with the integral from 0 to 4. the function is 3/8x^2. The solution is substitute the limits o and 4 and the solution is 3*(4)^2/8 - 3*(0)^2/8 = 6

[ajmiller]

Wake me up when you get started on the solution. This is not really a critical comment, just saying that less rambling and repetitive talking and more directness in approaching the solution using calculus techniques. Math is a beautiful topic, and yes I am a mathematician and have used it in the real world for years. Area finding using calculus is a way for finding areas under "curves" that are not linear. Also, calculus can be used to derive formulas, for example, the volume of a sphere and even the equation for finding the area of a triangle.

[Lifelove]

Explain the integration mechanism not just the rules

[georgesealy]

The next extension to this problem is: y=3/4x + 1. It can be solved using geometry formulas and calculus too. It is a little obvious. It is useful to show the equivalance of using geometry and calculus for these special cases.

[johnjacobjinglehimerschmid]

I was always impressed when I took calculus how the basic algebra equations were proved and/or derived.

[juluisreyes]

I would make that right triangle into a rectangle to compute the area and then divide by two

[jamescannon]

I didn’t really appreciate mathematics until I was an adult and my interest has only increased. Then the internet, and now I can sit, listen and learn to my hearts content….. I have been retired for years now and my interest has stayed the same.

[muazalli]

Currently taking highschool pre calc! Cant wait to take AP calc AB next year

[ericday]

It's amazing that if I would have had you tube in HS, I would not have flunked out of Algebra 2, and I would have passed basic algebra with more then a C, anyway mathematics are so very fascinating when taught properly.

[BandsawBob]

What you didn't explain in the calculus portion is the relationship to the thin rectangles. The height of the rectangles is the 3/4 X and the width is the an extremely small portion called dx. You kind of jumped past this.

[kydyhld]

It should be noted that your calculation of base x height is of a right triangle. In non-right tirangles we say base times perpendicular height.

[HalfwayConscious]

Wow!! you are such an amazing teacher. I had no prior calculus exp or knowledge whatsoever and I clearly followed along the entire way. Thank you sir for your free content. Masterclass coming soon? 🤣.

[lincolnkarim]

6:09 Just to keep the answer Koscher, the area of the triangle is 6 'square units'.