Concept explainers
True or False for the given condition.
Answer to Problem 41E
Statement is False.
Explanation of Solution
Giveninformation :
For any integral function,
So, if
It means that area above the x-axis > area below the x-axis.
Hence, area below the x-axis is less than area above than x-axis but it is not equal to zero and when area below the x-axis exists it means that for some value of x in [a,b], f(x) is negative.
So, when
It is not necessary that f(x) is positive for all x in [a,b].
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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