   Chapter 4.3, Problem 67E

Chapter
Section
Textbook Problem

True or False? In Exercises 63-68, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The value of ∫ a b f ( x ) d x must be positive.

To determine
If the statement ‘the value of abf(x)dx must be positive’ is true or false.

Explanation

From the definition of definite integral as the area of a region, if f is continuous and nonnegative on the interval [a,b], then the area of the region that is bound by the graph of f, x-axis and the vertical lines x=a and x=b

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