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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.
Integrals, a cornerstone of calculus, are essential mathematical tools used for quantifying areas, volumes, and other concepts that require summation of infinite elements. They are divided into two types: indefinite and definite integrals. Their use extends beyond geometry, being crucial in physics for calculations such as work and energy, in economics for analyzing growth, and […]
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