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Chapter 4: Q. 58 (page 327)
Given a simple proof that
We prove the statement
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Use integration formulas to solve each integral in Exercises 21–62. 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
.
Suppose on [1, 3] and on (−∞, 1] and [3,∞). Write the area of the region between the graphs of f and g on [−2, 5] in terms of definite integrals without using absolute values .
As n approaches infinity this sequence of partial sums could either converge meaning that the terms eventually approach some finite limit or it could diverge to infinity meaning that the terms eventually grow without bound. which do you think is the case here and why?
Approximate the area between the graph and the x-axis from x=0 to x=4 by using four rectangles include the picture of the rectangle you are using
Fill in each of the blanks:
(a)
(b) is an antiderivative of .
(c) The derivative of is .
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