Consider the following theorem. Theorem If f is integrable on [a, b], then = lim f(x;)Ax n- 00 la i = 1 b – a and x, 3D a + іДх. n where Ax Use the given theorem to evaluate the definite integral. (x2 - 4x + 5) dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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Consider the following theorem.
Theorem
If f is integrable on [a, b], then
9.
f(x) dx
lim
f(x;)Ax
%D
i = 1
b
where Ax =
- a
and x, 3D а + iДх.
Use the given theorem to evaluate the definite integral.
(x?
- 4x + 5) dx
Transcribed Image Text:Consider the following theorem. Theorem If f is integrable on [a, b], then 9. f(x) dx lim f(x;)Ax %D i = 1 b where Ax = - a and x, 3D а + iДх. Use the given theorem to evaluate the definite integral. (x? - 4x + 5) dx
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