Three ways!!
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This trick is new to me!

a nice integral and an important ignored constant

How Euler would integrate sqrt(x^2+1)

We're 99.9% sure this pattern is true, but no one can prove it

A nice integral.

The Differential Equations Explained Better Than School Ever Did

This trick from Euler was ingenious

William Dunham, A tribute to Euler

A couple of interesting integral formulas.

Euler Substitution: MIT Integration Bee (3)

A nice integral.

The Professor Who Taught People How To Think (1962)

The Ancient Invention That Solves Corruption

Why is there no equation for the perimeter of an ellipse‽

I Hacked This Temu Router. What I Found Should Be Illegal.

Perfectly Replicating Coca Cola (It Took Me A Year)

Researchers thought this was a bug (Borwein integrals)

Becoming good at math is easy, actually

Frullani Integral

