Innocent looking, but ????
This is an innocent-looking integral but it's actually dangerous. The integral of 1/x^2 from -2 to 1 is a type 2 improper integral because it has a vertical asymptote on the interval of integration. This improper integral actually diverges! Be careful with the criteria when we use the fundamental theorem of calculus part 2. #calculus #apcalculus #blackpenredpen ☀️ Check out "the debate", integral of 1/x from -1 to 1, • Improper integral of 1/x from -1 to 1 (THE... ☀️support this channel on Patreon: / blackpenredpen Subscribe to @blackpenredpen for more fun math videos.

▶︎
solution to the logarithmic triangle

▶︎
Integral of so many things! (great for calculus 2 review)

▶︎
A Brilliant Limit

▶︎
What Lies *Between* a Function and Its Derivative?

▶︎
This is why you're learning differential equations

▶︎
The Easiest Integral on YouTube

▶︎
How Laplace solved the Gaussian integral

▶︎
Supreme Integral with Feynman's Trick

▶︎
A Cambridge Integral Experience

▶︎
Last Lecture Series: “How to Win Without Crushing Your Soul” - Graham Weaver

▶︎
Has an AI discovered new maths?

▶︎
mechanical light bulb from 1675

▶︎
Count Binface reacts to 'hilarious' chance of becoming an actual MP

▶︎
How to really solve sin(x^2)=sin(x)

▶︎
The REAL reason the US can’t beat Iran

▶︎
integral of sin(x)/x from 0 to inf by Feynman's Technique

▶︎
4 horsemen of integral disaster!

▶︎
What does it feel like to invent math?

▶︎
You can't do the derivative of this function "nomrally"

▶︎
