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Calculus II
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Definite Substitution with Bounds
Worksheet
Grade Level
Calculus II
CAL2.20 Definite Substitution with Bounds
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A student uses u = x
2
+ 5 for ∫_0
2
2x/(x
2
+ 5) dx and integrates to ln∣u∣. If the student does not transform the bounds, which final evaluation is correct?
A
[ln u]_0
2
B
[ln(x
2
+ 5)]_0
2
C
[ln(x
2
+ 5)]_5
9
D
[ln u]_0
9
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