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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 8.2, Problem 60E

Textbook Problem

Integration by Parts When evaluating

Expert Solution

To determine

The reason, why the method of integration by parts is more difficult to find the integration of

Assume that

Then

Now, substitute these values in the formula for integration by parts.

Calculus of a Single Variable

Show all chapter solutions

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Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Evaluating a Definite Integral In Exercises 57-72,...Ch. 8.1 - Area In Exercises 7376, find the area of the given...Ch. 8.1 - Aiea In Exercises 73-76, find the area of the...Ch. 8.1 - Aiea In Exercises 73-76, find the area of die...Ch. 8.1 - Aiea In Exercises 7376, find the area of the given...Ch. 8.1 - Finding an Integral Using Technology In Exercises...Ch. 8.1 - 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Using a Product-to-Sum Formula In Exercises 43-48,...Ch. 8.3 - Using a Product-to-Sum Formula In Exercises 43-48,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 4958,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 4958,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Finding an Indefinite Integral In Exercises 49-58,...Ch. 8.3 - Evaluating a Definite Integral In Exercises 59-66,...Ch. 8.3 - Evaluating a Definite Integral In Exercises 59-66,...Ch. 8.3 - Evaluating a Definite Integral In Exercises 59-66,...Ch. 8.3 - Evaluating a Definite Integral In Exercises 5966,...Ch. 8.3 - 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Use the graph of f1 shown in...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - Area Find the Area enclosed by the ellipse...Ch. 8.4 - Area Find the area of the shaded region of the...Ch. 8.4 - Arc Length In Exercises 53 and 54, find the arc...Ch. 8.4 - Arc Length In Exercises 53 and 54, find the arc...Ch. 8.4 - Volume of a Torus In Exercises 55 and 56, find the...Ch. 8.4 - Volume of a Torus In Exercises 55 and 56, find the...Ch. 8.4 - Centroid In Exercises 57 and 58, find the centroid...Ch. 8.4 - Centroid In Exercises 57 and 58, find the centroid...Ch. 8.4 - Volume The axis of a storage tank in the form of a...Ch. 8.4 - Field Strength The field strength H of a magnet of...Ch. 8.4 - Tractrix A person moves from the origin along the...Ch. 8.4 - Conjecture (a) Find formulas for the distances...Ch. 8.4 - Fluid Force Find the fluid force on a circular...Ch. 8.4 - Fluid Force Evaluate the following two integrals,...Ch. 8.4 - Verifying Formulas Use trigonometric substitution...Ch. 8.4 - Arc length Show that the arc length of the graph...Ch. 8.4 - Area of a Lune The crescent shaped region bounded...Ch. 8.4 - Area: Two circles of radius 3, with centres at...Ch. 8.4 - PUTNAM EXAM CHALLENGE Evaluate 01ln(x+1)x2+1dx.Ch. 8.5 - Partial Fraction Decomposition Write the form of...Ch. 8.5 - Guidelines for Solving the Basic Equation In your...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 5-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20: use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20: use...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In exercises 21-24,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - HOW DO YOU SEE IT? Use the graph of f shown in the...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Modeling Data The predicted cost C (in hundreds of...Ch. 8.5 - Average Value of a Function Find the average value...Ch. 8.5 - Volume and Centroid Consider the region bounded by...Ch. 8.5 - Volume Consider the region bounded by the graph of...Ch. 8.5 - Epidemic Model A single infected individual enters...Ch. 8.5 - Chemical Reaction In a chemical reaction, one unit...Ch. 8.5 - Using Two Methods Evaluate 01x1+x4dx in two...Ch. 8.5 - Prove 227=01x4(1x)41+x2dxCh. 8.5 - Let p(x) be a nonzero polynomial of degree less...Ch. 8.6 - CONCEPT CHECK Finding an Interval Would you use...Ch. 8.6 - CONCEPT CHECK Errors in the Trapezoidal Rule and...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors Using Technology In Exercises 33...Ch. 8.6 - Estimating Errors Using Technology In Exercises 33...Ch. 8.6 - Finding the Area of a Region Approximate the area...Ch. 8.6 - Finding the Area of a Region Approximate the area...Ch. 8.6 - Area Use Simpsons Rule with n=14 to approximate...Ch. 8.6 - HOW DO YOU SEE IT? 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26

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