Seeing multiple ways to solve a problem is one of the beautiful things about using the tools of Mathematics in creative ways. This integral, done two different ways, reveals something interesting about two inverse trig functions.
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All tagged trigonometry
Seeing multiple ways to solve a problem is one of the beautiful things about using the tools of Mathematics in creative ways. This integral, done two different ways, reveals something interesting about two inverse trig functions.
The use of trigonometric identities to rephrase problems in Calculus is a very important skill. In this limits problem, it really really helps!
This one is reduced to something super easy once we flex our integration muscles! King Property! Weierstrass substitution! Odd/even properties! Trig identities! One of my favorite articles to date!
Papa Flammy isn’t kidding. This is an absolutely beautiful result, as is the path to getting there.