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Chapter 5: Q 30. (page 452)
Solve the following integral.
Answer is
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Describe two ways in which the long-division algorithm for polynomials is similar to the long-division algorithm for integers and then two ways in which the two algorithms are different.
Solve the integral :
Suppose v(x) is a function of x. Explain why the integral
of dv is equal to v (up to a constant).
Give an example of an integral for which trigonometric substitution is possible but an easier method is available. Then give an example of an integral that we still don鈥檛 know how to solve given the techniques we know at this point.
For each function u(x) in Exercises 9鈥�12, write the differential du in terms of the differential dx.
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