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Consider the following theorem. Theorem If f is integrable on [a, b], then F(x) dx = lim s fx,)Ax n- 00 la i = 1 b - a where Ax = and x, = a + iAx. n Use the given theorem to evaluate the definite integral. (4x2 + 4x) đx

Consider the following theorem. Theorem If f is integrable on [a, b], then F(x) dx = lim s fx,)Ax n- 00 la i = 1 b - a where Ax = and x, = a + iAx. n Use the given theorem to evaluate the definite integral. (4x2 + 4x) đx

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 2E
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Consider the following theorem. Theorem If fis integrable on [a, b], then 9. f(x) dx = lim f(x,)Ax i = 1 b — а where Ax = and x, = a + iAx. Use the given theorem to evaluate the definite integral. L(4x2 + 4x) dx -2
Transcribed Image Text:Consider the following theorem. Theorem If fis integrable on [a, b], then 9. f(x) dx = lim f(x,)Ax i = 1 b — а where Ax = and x, = a + iAx. Use the given theorem to evaluate the definite integral. L(4x2 + 4x) dx -2
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