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Chapter 4: Q. 52 (page 353)
Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.
The exact value of definite integral is .
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Without calculating any sums or definite integrals, determine the values of the described quantities. (Hint: Sketch graphs first.)
(a) The signed area between the graph of f(x) = cos x and the x-axis on [鈭捪�, 蟺].
(b) The average value of f(x) = cos x on [0, 2蟺].
(c) The area of the region between the graphs of f(x) =
Show thatis an anti-derivative of
Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.
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.
Use the graph of f to estimate the values of A(1), A(2), A(3)
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