I came for heavy breathing, and wasn't left disappointed by the end of the video! Also, good calculus. It's a bit vague from school, a long time ago, but a nice refresher. I always get thrown when people say that the curve can be described by a function. How? Where did that function come from? How do I work that out? I don't remember if we ever found out.
Missed your videos! I'm no longer in school (getting a little long in the tooth), but really really enjoy the videos! I only got as far as trig in school, so I appreciate the succinct description of what I always thought of as "scary math"
To integrate x^#, you add 1 to the #, then divide by the number you get after. There is an exception if x= -1, which has a separate rule. In the video, for integrating x^2, 2+1=3, so the integral of x^2 is (x^3)/3. Another example: 7x^-4. Ignore the 7 for now, and add 1 to -4. You get x^-3, then divide by -3. Incorporating the 7 that the x to the whatever is being multiplied by, you get 7(x^-3)/-3, which can also be written as -7/3(x^3).
@@efeend1 i worked out the magic! ∫x^2 dx (the formula is: x^n + 1 / n+1. so we know x = 2 n = power of x, so re write the formula: x^2 + 1 / 2+1 = x^3/3 😁
I've always been intimidated by calculus andt o be honest I still am. I need to be to do algebra and geometry better. Thos video shows me that I have a LONG way to go before i get to this. I have learned a lot from the videos that you produce. Thank you! 👍🏼🥓🥓🥓
What's with the weird audio breathing track that comes in at like 10:40 and then plays all the way to the end, through the awkward darkness final minute of this video? Very creepy.
