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Chapter 4: Q. 39 (page 405)
Combining derivatives and integrals: Simplify each of the following as much as possible.
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Compare the definitions of the definite and indefinite integrals. List at least three things that are different about these mathematical objects.
Without using absolute values, how many definite integrals would we need in order to calculate the area between the graphs of f(x) = sin x and g(x) = on ?
Determine which of the limit of sums in Exercises 47鈥�52 are infinite and which are finite. For each limit of sums that is finite, compute its value.
Verify that. (Do not try to solve the integral from scratch.)
Use integration formulas to solve each integral in Exercises 21鈥�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
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