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Integration
Quiz 1
Quiz 2
Quiz 3
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attempt
right
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MathQuiz 4.2
University of Sydney
School of Mathematics
and Statistics
© Copyright 2004
Integration  Quiz 1
Question
Question 1
Which of the following is the indeﬁnite integral of
a)
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, you seem to be mixing up integration and differentiation.
Not correct. Choice
(b)
is
false
.
Try again, recall
and you should add a constant of integration.
Not correct. Choice
(c)
is
false
.
Try again, recall
Your answer is correct.
Since
integrating term by term we have
noting that we add a constant of integration.
Question 2
Which of the following is the indeﬁnite integral of
a)
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, recall that
Not correct. Choice
(b)
is
false
.
Try again, recall that
Not correct. Choice
(c)
is
false
.
Try again, you seem to have differentiated
Your answer is correct.
Since
we have
Question 3
Which of the following is the indeﬁnite integral of
a)
b)
c)
d)
Your answer is correct.
Not correct. Choice
(b)
is
false
.
Try again looking carefully at the sign.
Not correct. Choice
(c)
is
false
.
Try again, you have differentiated.
Not correct. Choice
(d)
is
false
.
Try again, you have almost differentiated, watch the sign of the index.
Question 4
Which of the following correctly evaluates the deﬁnite integral
a)
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, you seem to have added the two components of the deﬁnite integral instead of subtracting them.
Not correct. Choice
(b)
is
false
.
Try again, you appear not to have integrated correctly. Note that
Your answer is correct.
=
=
=
Not correct. Choice
(d)
is
false
.
Try again, you appear not to have integrated correctly. Note that
Question 5
Which of the following correctly evaluates the deﬁnite integral
a)
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, you may have made a mistake with a sign.
Your answer is correct.
=
=
=
Not correct. Choice
(c)
is
false
.
Try again, you may have made a mistake with a sign.
Not correct. Choice
(d)
is
false
.
Try again, you may have differentiated instead of integrated.