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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 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: ).
Prove Theorem 4.13(c): For any real numbers a and b, Use the proof of Theorem 4.13(a) as a guide.
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Approximate the area between the graph and the x-axis from x=0 to x=4 by using four rectangles include the picture of the rectangle you are using
Determine which of the limit of sums in Exercises 47–52 are infinite and which are finite. For each limit of sums that is finite, compute its value
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