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Chapter 4: Q. 17 (page 404)
Indefinite integrals: Use integration formulas, algebra, and
educated guess-and-check strategies to find the following
integrals .
The integral is.
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If and ,then find the values of each definite integral in Exercises . If there is not enough information, explain why.
.
Describe an example that illustrates that is not equal to .
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.
, n = 3 with
a) Trapezoid sim b) Upper sum
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 .
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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