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Chapter 4: Q. 24 (page 404)
Indefinite integrals: Use integration formulas, algebra, and educated guess-and-check strategies to find the following integrals.
The solution is:
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If and ,then find the values of each definite integral in Exercises . If there is not enough information, explain why.
.
Find the sum or quantity without completely expanding or calculating any sums.
Given and,. Find the value of.
Sum and constant-multiple rules: State the sum and constant-multiple rules for (a) derivatives and (b) limits.
Repeat Exercise 13 for the function f shown above at the right, on the interval
Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.
(a) A function f for which the signed area between f and the x-axis on [0, 4] is zero, and a different function g for which the absolute area between g and the x-axis on [0, 4] is zero.
(b) A function f whose signed area on [0, 5] is less than its signed area on [0, 3].
(c) A function f whose average value on [鈭�1, 6] is negative while its average rate of change on the same interval is positive.
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