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Return to Foundations of Science Mathematics 2e Student Resources
Chapter 5 Multiple choice questions
Integration
Quiz Content
*
not completed
.
Which of the following is
not
true about integration?
It is the inverse of differentiation.
correct
incorrect
Unbounded integrals are only defined to within an arbitrary additive constant.
correct
incorrect
It relates to the area under a graph.
correct
incorrect
It can always be done analytically.
correct
incorrect
*
not completed
.
Given the velocity, v, of a car travelling along a straight road as a function of time,
t
, which of the following is
not
related to v(
t
) through integration?
The acceleration.
correct
incorrect
The average velocity.
correct
incorrect
The average speed (|v|).
correct
incorrect
The distance travelled.
correct
incorrect
*
not completed
.
What is the average value of sin
^{2}
(
x
) between
x
=0 and
x
=2π?
0
correct
incorrect
1/2
correct
incorrect
2/π
correct
incorrect
1
correct
incorrect
*
not completed
.
If J
_{n}
is defined to be the integral of x
^{n }
e
^{-}
^{x}
between zero and infinity, then an integration by parts leads to the reduction formula J
_{n}
= n J
_{n-1}
for n≥1. If n is a positive integer, what is the value of J
_{n}
?
n
^{2}
correct
incorrect
n
^{n-1}
correct
incorrect
n!
correct
incorrect
e
^{n}
correct
incorrect
*
not completed
.
What is the integral of exp(-
x
^{2}
) ?
exp(-
x
^{2}
) +
K
correct
incorrect
-2
x
exp(-
x
^{2}
) +
K
correct
incorrect
exp(-
x
^{2}
) / (-2
x
) +
K
correct
incorrect
It has to be computed numerically for arbitrary limits, and is often tabulated in formulae books.
correct
incorrect
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