Chapter 4: Q. 21 (page 325)
Write each of the sums in Exercises 21–28 in sigma notation. Identify in each problem.
Short Answer
The sigma notation is
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Chapter 4: Q. 21 (page 325)
Write each of the sums in Exercises 21–28 in sigma notation. Identify in each problem.
The sigma notation is
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Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Prove Theorem 4.13(c): For any real numbers a and b, Use the proof of Theorem 4.13(a) as a guide.
Show that is an antiderivative of .
Fill in each of the blanks:
(a)
(b) is an antiderivative of .
(c) The derivative of is .
Use integration formulas to solve each integral in Exercises 21–62. 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. (Hint for Exercise 54: ).
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