INTEGRATION - AREA UNDER THE CURVE

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What is the definition of integration in calculus?

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Integration is the process of finding the integral of a function, which represents the area under the curve of that function on a given interval.

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What does the definite integral represent?

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The definite integral of a function over an interval [a, b] represents the net area between the curve of the function and the x-axis from x = a to x = b.

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What is the formula for the area under the curve of a function f(x) from a to b?

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How do you calculate the area under the curve for a polynomial function?

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To calculate the area under the curve for a polynomial function, find the definite integral of the polynomial over the desired interval.

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What is the Fundamental Theorem of Calculus?

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How do you find the area between two curves?

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How do you determine the points of intersection of two curves?

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To find the points of intersection, set the equations of the curves equal to each other and solve for x.

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