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Chapter 4: Q. 42 (page 404)
Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
The value of.
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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.
For each function f and interval [a, b] in Exercises 27–33, use the given approximation method to approximate the signed area between the graph of f and the x-axis on [a, b]. Determine whether each of your approximations is likely to be an over-approximation or an under-approximation of the actual area.
left sum with
a) n = 3 b) n = 6
Fill in each of the blanks:
(a)
(b) is an antiderivative of role="math" localid="1648619282178"
(c) The derivative of is
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 .
Write out all the integration formulas and rules that we know at this point.
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