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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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