MATH 140 Bella Capelli WK7 Antiderivative & Definite Integrals Conjecture Quiz 5

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math 140

Bella Capelli A Paul Mitchell Partner school

MATH

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Need attached math questions done. Must show work however true false questions dont need to show work.

quiz 5 + 2 reiman questions only.

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Quiz 5, Math 140, Week 7 1. (20%) True/False (1) ______ If f(x) is integrable in an interval I, f(x) must be differentiable in I. 5 1 1 5  f ( x)dx = − f ( x)dx by definition. (2) _____ 1  xdx = 0 (3) _____ −1 (4) _____ Following the Antiderivative and Definite Integrals conjecture in 1 Sect 4.4, we have 1 x 2 dx = −2, because −1 (5) _____ For any integrable function f, 1 1 1 ( )=− 2. dx x x c b c a a b  f ( x)dx =  f ( x)dx +  f ( x)dx where a
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