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15:55
YouTube
Professor Dave Explains
Integration By Trigonometric Substitution
We've got two techniques in our bag of tricks, the substitution rule and integration by parts, so it's time to learn the third and final, and that's integration by trigonometric substitution. This is probably the toughest one, and it only works in very specific circumstances, but when those circumstances arise, it works like a charm! So let's ...
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Holden Tran on Instagram: "One minute, you're looking at some complicated trigonometric expression, and the next, you have a relatively simple rational expression on your hands with no trigonometric function to be found. 👀 I'm, of course, referring to the tangent half-angle substitution, or the Weierstrass substitution, one of the sneakiest substitutions out there that can be used to evaluate integrals in calculus. In my experience as a tutor here in the US, students are not usually taught this
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