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Chapter 5: Q 81. (page 453)
A wire filament is shaped to match the graph of the function of from to , measured in inches, as shown in the figure. Given that the length of a curve y = f(x) from x = a to x = b can be calculated
with the formulafind the length of the filament.
Answer isunits.
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Solve each of the integrals in Exercises 39鈥�74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
Problem Zero: Read the section and make your own summary of the material.
Solve given definite integral.
Complete the square for each quadratic in Exercises 28鈥�33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
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