How do you interpret geometrically the definite integral

Chapter 14, Problem 2E

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QUESTION:

How do you interpret geometrically the definite integral of a function that changes sign on the interval of integration?

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QUESTION:

How do you interpret geometrically the definite integral of a function that changes sign on the interval of integration?

ANSWER:

Problem 2EAnswer; Step-1 NET AREA DEFINITION; the nonnegative function given by f(x) represents a smooth curve on the closed interval [a,b]. The area of the region bounded by the curve of f(x) , the x -axis and the vertical lines x =a , x=b is shown in figure given by , That is , f(

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