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1:00
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The Cleanest and Beautiful arcsin(x) arccos(x) Integral (MIT Integration Bee 2022)
This MIT Integration Bee problem looks intimidating at first, but combining the complementary angle identity with integration by parts turns it into a surprisingly elegant calculation. Key ideas covered: Inverse trigonometric identities. Integration by parts. Trigonometric substitution. arcsin and arccos relationships. Elegant calculus ...
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In the iconic film Good Will Hunting, Matt Damon's character proves his alleged genius by solving a math problem left on a blackboard at MIT. There's only one issue: the problem isn't actually that hard to solve. The jargony language is what makes the problem difficult, not the task itself. But once we break down the technical terms, almost anyone can solve the problem with a few minutes of concentrated doodling—and therefore qualify as a genius in the world of Good Will Hunting. Learn more abou
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