Chapter 4: Q. 14 (page 385)
Repeat Exercise 13 for the function f shown above at the right, on the interval
d
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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.
Prove that in three different ways:
(a) algebraically, by calculating a limit of Riemann sums;
(b) geometrically, by recognizing the region in question as a trapezoid and calculating its area;
(c) with formulas, by using properties and formulas of definite integrals.
Read the section and make your own summary of the material.
Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find.
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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