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TL;DR: Trig integrals look intimidating until you notice they all fall into a handful of patterns. For powers of sine and cosine, you either split off an odd power or use the power-reduction identities. For products of sine and cosine at different angles, the product-to-sum identities crunch them down fast. The one piece of homework […]
The Substitution Rule, often referred to as u-substitution, is a powerful technique in integral calculus that simplifies the integration process by transforming a complex integral into a simpler one. It is essentially the reverse process of the chain rule used in differentiation.
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