Definite Integrals Calculated with Respect to the Variable y
22 April 2024 / Krystian Karczyński
Definite integrals can be calculated with respect to variable x or y, and sometimes should be, if it's more convenient. This often plays a big role in the applications of integrals, such as calculating the areas of regions, arc lengths, volumes, and surface areas of solids of revolution. Often we don't even have a choice, because the conditions of the problem specify that the curve rotates around the OY axis, not the OX. How do you do that?
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