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Chapter 8: Q. 68 (page 702)

Use the results from Exercises 51鈥�60 and Theorem 7.38 to approximate the values of the definite integrals in Exercises 61鈥�70 to within 0.001 of their values.

鈭�0.52x3cosx2dx

Short Answer

Expert verified

鈭�0.52x3cosx2dx鈮�-0.342

Step by step solution

01

Step 1. Given information is: 

鈭�0.52x3cosx2dx

02

Step 2. Approximating the values 

FromQ58.鈭�0.52x3cosx2dx=鈭�k=0鈭�-1k2k!122k+322k+4-(0.5)2k+42k+4Thisimpliesthattoapproximatethevaluesofintegrals,putthevalueofk鈭�0.52x3cosx2dx=123路424-0.54-12!路25路626-0.56+14!路27路828-0.58=0.4980-0.1666+0.0104-0.000277+...鈮�-0.342

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Most popular questions from this chapter

Find the interval of convergence for each power series in Exercises 21鈥�48. If the interval of convergence is finite, be sure to analyze the convergence at the endpoints.

鈭�k=1鈭�5kxk

Exercise 64-68 concern with the bessel function.

What is the interval for convergence forJ0(x)?

Find the interval of convergence for each power series in Exercises 21鈥�48. If the interval of convergence is finite, be sure to analyze the convergence at the endpoints.

鈭�k=0鈭�13k+5kx+3k

Find the interval of convergence for power series:鈭�k=0鈭�-1k2k+1!x2k+1

Use an appropriate Maclaurin series to find the values of the series in Exercises 17鈥�22.

鈭�k=0鈭�(-1)kk1蟺k
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