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Chapter 4: Q. 11 (page 403)
Notation: Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter:
.
If is continuous on the interval and is any antiderivative of , then
.
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Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find.
Compare the definitions of the definite and indefinite integrals. List at least three things that are different about these mathematical objects.
Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess and-check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating.
Determine which of the limit of sums in Exercises 47鈥�52 are infinite and which are finite. For each limit of sums that is finite, compute its value
Use a sentence to describe what the notation means. (Hint: Start with 鈥淭he sum of....鈥�)
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