Integration is easier with inverse hyperbolic sin (Ch10 Pr12a)

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We explore two integrals related to the inverse of sin and hyperbolic sin. This is Chapter 10 Problem 12a from the Calculus notes. Presented by Norman Wildberger from the UNSW School of Mathematics and Statistics.
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The professor didn't once remark about the dubious nature of the square roots and trigonometric functions, but I suspect we know what he was thinking.

deanrubine
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I agree. It looks way faster than regular trig sub since trig sub involves writing in the theta world THEN in terms of x. This is pure beauty haha

Sgth
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I sat there, confused, thinking... how is it so easy? Thank you :)

thandanaing