Chapter 4: Q. 1 (page 372)
State the definition of the definite integral of an integrable function f on [a, b].
Short Answer
If f is a function defined on an interval then the definite integral of f from to is defined by a number that follows:
Chapter 4: Q. 1 (page 372)
State the definition of the definite integral of an integrable function f on [a, b].
If f is a function defined on an interval then the definite integral of f from to is defined by a number that follows:
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Consider the sequence A(1), A(2), A(3),.....,A(n) write our the sequence up to n. What do you notice?
If f is negative on [−3, 2], is the definite integral positive or negative? What about the definite integral − ?
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. (Hint for Exercise 54: ).
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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