Exam 6: The Integral
Exam 1: Functions and Linear Models100 Questions
Exam 2: Nonlinear Functions and Models88 Questions
Exam 3: Introduction to the Derivative140 Questions
Exam 4: Techniques of Differentiation With Applications106 Questions
Exam 5: Further Applications of the Derivative85 Questions
Exam 6: The Integral71 Questions
Exam 7: Further Integration Techniques and Applications of the Integral117 Questions
Exam 8: Functions of Several Variables133 Questions
Exam 9: Trigonometric Models66 Questions
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Evaluate the integrals mentally. Choose the correct letter for each question.
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Calculate the total area of the region bounded by the line
, the
and the lines
and 




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Evaluate the integrals mentally. Choose the correct letter for each question.
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The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by
where t is time (in days)since the egg was laid. (An egg will typically hatch at around t = 28.)Find the total amount of oxygen consumed during the ninth and tenth days ( t = 8 to t = 10).

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Decide on what substitution to use, and then evaluate the given integral using a substitution. 

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Calculate the left Riemann sums for the function over the given interval, using the given values of
. (When rounding, round answers to four decimal places.)
over
, 




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