an A5 Putnam Exam integral for calc 2 students
Integral of ln(x+1)/(x^2+1) from 0 to 1, this integral was on the Putnam exam back in 2005. We will use a trig substitution and some integral properties to take care of this problem! This integral is also called the Serret's Integral. Subscribe to @blackpenredpen for more fun math videos. Check out Mu Prime's video on the integral of ln(x^2+1)/(x+1) from 0 to 1, • It took me 3 hours to do this integral!
▶︎
Integral of so many things! (great for calculus 2 review)
▶︎
A Putnam Exam Integral from 1980
▶︎
u substitution: how to choose the "u"
▶︎
An integral with a classic result
▶︎
How Euler would integrate sqrt(x^2+1)
▶︎
The Easiest Integral on YouTube
▶︎
How Laplace solved the Gaussian integral
▶︎
The legendary A5 Putnam integral: Richard Feynman vs Weierstrass
▶︎
The Hardest Integral From The Hardest Test (Putnam Exam)
▶︎
This MIT Integration Bee Integral Seems Tricky
▶︎
Math for fun, sin(z)=2
▶︎
integral of sqrt(tan(x)) by brute force
▶︎
a spectacular solution to 1+1/2^2+1/3^2+... (Basel problem)
▶︎
National Taiwan University graduate school entrance exam problem
▶︎
The Pattern Nobody Can Prove (But Everyone Believes)
▶︎
This 2026 MIT Integration Bee Final Integral Looks Impossible
▶︎
What is this Product?!!: MIT Integration Bee (15)
▶︎
Something is jamming GPS over Europe. Here's what we found
▶︎
Big Brilliant Integral
▶︎