Chapter 4: Q. 45 (page 315)
Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
Short Answer
The value of .
Chapter 4: Q. 45 (page 315)
Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
The value of .
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Get started for freeWrite each expression in Exercises 41–43 in one sigma notation (with some extra terms added to or subtracted from the sum, as necessary).
Calculate the exact value of each definite integral in Exercises 47–52 by using properties of definite integrals and the formulas in Theorem 4.13.
Given a simple proof that
Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find the value of.
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.
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