To find: the function of
Answer to Problem 48RE
The function of
Explanation of Solution
Given information:
Given expression is:
Calculation:
Given that,
By fundamental theorem of calculus, part
If
Proof-
Apply the definite of the derivative directly to the function
The expression in brackets in the last line is the average value of
from the mean value theorem for definite integrals. That
value at least once in the interval; that is,
So,
What happens to
Putting it all together,
So,
Use above proof to express
Here,
Hence,
So,
Hence, the function of
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
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