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Chapter 5: 0 (page 416)
Problem Zero: Read the section and make your own summary of the material.
1
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Suppose v(x) is a function of x. Explain why the integral
of dv is equal to v (up to a constant).
Write as an algebraic function.
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:
Show by differentiating (and then using algebra) that and are both antiderivatives of . How can these two very different-looking functions be an antiderivative of the same function?
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