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Chapter 4: Q. 4 (page 351)
Fill in the blanks: The definite integral of an integrable function f from x = a to x = b is defined to be
a
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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.
Explain why the formula for the integral of does not
apply when What is the integral of
Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find the value of.
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
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.
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