How Riemann would probably integrate e^x from 0 to 1 @blackpenredpen

Uploaded August 2026 | Updated September 2026, 2 weeks ago

Let's see how to evaluate the integral of e^x from 0 to 1 without using the Fundamental Theorem of Calculus (part 2), i.e. without finding an anti-derivative of e^x. We will use a limit of a Riemann sum along with a finite geometric series.
Definition of e: youtu.be/oBlHiX6vrQY?si=B70DR4cVMoBaGNJb

🛍 Shop my math t-shirts & hoodies: 👉 amzn.to/3qBeuw6
👉 Support this channel and get more content patreon.com/blackpenredpen

#blackpenredpen #calculus

How Riemann would probably integrate e^x from 0 to 1

Calculus teacher vs LHopitals rule students

They didnt get this integral right, so heres the solution (Berkeley Math Tournament Integral bee)

How to solve HARD polynomial equations! Chegg Trig & Precalculus Office Hours

This fully tests your understanding of calc 1 differentiation & integration Cambridge STEP 1 exam

When you accidentally multiply matrices the wrong way, but nobody notices (Reddit r/mathmemes)

Real Analysis: The 4 rigorous limit definitions you need to know

sin(x)+cos(x)=? Vertical asymptote vs hole? Inverse of (ax+b)/(cx+d)=? Chegg Precalculus office hour

I couldnt solve this when the student asked me