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Evaluating Definite Integrals

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Calculate, correct to the nearest hundredth,

1.5
∫ (2.73x^2 - 8.41x + 7) dx =
0.5

1.55
1.69
2.27
2.88
3.81
7.01
9.44
12.54
26.71
none of these

A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch. The material for the top costs $4 per square inch while the material for the bottom costs $2 per square inch. What, in inches, would be the height of the most economical box which could be made given these conditions?

12 inches
15 inches
18 inches
21 inches
24 inches
27 inches
none of these

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A definite integral is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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