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Chapter 4: Q. 45 (page 315)
Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
The value of .
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Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Calculate the exact value of each definite integral in Exercises 47–52 by using properties of definite integrals and the formulas in Theorem 4.13.
Shade in the regions between the two functions shown here on the intervals (a) [−2, 3]; (b) [−1, 2]; and (c) [1, 3]. Which of these regions has the largest area? The smallest?
Explain why we call the collection of antiderivatives of a function f a family. How are the antiderivatives of a function related?
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
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