Flashcards

Application of Integrals

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Question

What is the formula for the area of the region bounded by the curve $y=f(x)$ , the x-axis, and the lines $x=a$ and $x=b$ ?

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Answer

The formula for the area A is given by the definite integral: $A = \int_{a}^{b} y \, dx = \int_{a}^{b} f(x) \, dx$ This is derived by summing the areas of an infinite number of thin vertical strips.

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