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4 dx using partial fractions. Factor the denominator of the integrand. 2-9 First evaluate 2 -9=0 Using the result of the previous step, rewrite the integrand using partial fraction decomposition. dx dx - 9 х-3 Solve for A and B. and B = (Type integers or simplified fractions.) Substitute the determined values for A and B into the integrand from a previous step and integrate. 4 dx x -9 4 dx Now evaluate using a trigonometric substitution. Because the integral contains the form x - a, use a secant substitution, where x= a sec 0. Determine the value of a. 2-9 x = a sec 0 Find dx. dx = Substitute the determined values for x and dx into the integrand and simplify completely. dx Integrate the result from the previous step. dx x -9 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. dx 4 x = a sec 0 Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by using integration by parts. O B. The two results can be reconciled using the properties of logarithms. The two results can be reconciled because the secant substitution results in /tan e = - tan 0 in this case. O D. The two results can be reconciled by changing the constant of integration.

4 dx using partial fractions. Factor the denominator of the integrand. 2-9 First evaluate 2 -9=0 Using the result of the previous step, rewrite the integrand using partial fraction decomposition. dx dx - 9 х-3 Solve for A and B. and B = (Type integers or simplified fractions.) Substitute the determined values for A and B into the integrand from a previous step and integrate. 4 dx x -9 4 dx Now evaluate using a trigonometric substitution. Because the integral contains the form x - a, use a secant substitution, where x= a sec 0. Determine the value of a. 2-9 x = a sec 0 Find dx. dx = Substitute the determined values for x and dx into the integrand and simplify completely. dx Integrate the result from the previous step. dx x -9 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. dx 4 x = a sec 0 Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by using integration by parts. O B. The two results can be reconciled using the properties of logarithms. The two results can be reconciled because the secant substitution results in /tan e = - tan 0 in this case. O D. The two results can be reconciled by changing the constant of integration.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
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4 dx using partial fractions. Factor the denominator of the integrand. 2-9 First evaluate 2 -9=0 Using the result of the previous step, rewrite the integrand using partial fraction decomposition. dx dx - 9 х-3 Solve for A and B. and B = (Type integers or simplified fractions.) Substitute the determined values for A and B into the integrand from a previous step and integrate. 4 dx x -9 4 dx Now evaluate using a trigonometric substitution. Because the integral contains the form x - a, use a secant substitution, where x= a sec 0. Determine the value of a. 2-9 x = a sec 0 Find dx.
Transcribed Image Text:4 dx using partial fractions. Factor the denominator of the integrand. 2-9 First evaluate 2 -9=0 Using the result of the previous step, rewrite the integrand using partial fraction decomposition. dx dx - 9 х-3 Solve for A and B. and B = (Type integers or simplified fractions.) Substitute the determined values for A and B into the integrand from a previous step and integrate. 4 dx x -9 4 dx Now evaluate using a trigonometric substitution. Because the integral contains the form x - a, use a secant substitution, where x= a sec 0. Determine the value of a. 2-9 x = a sec 0 Find dx.
dx = Substitute the determined values for x and dx into the integrand and simplify completely. dx Integrate the result from the previous step. dx x -9 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. dx 4 x = a sec 0 Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by using integration by parts. O B. The two results can be reconciled using the properties of logarithms. The two results can be reconciled because the secant substitution results in /tan e = - tan 0 in this case. O D. The two results can be reconciled by changing the constant of integration.
Transcribed Image Text:dx = Substitute the determined values for x and dx into the integrand and simplify completely. dx Integrate the result from the previous step. dx x -9 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. dx 4 x = a sec 0 Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by using integration by parts. O B. The two results can be reconciled using the properties of logarithms. The two results can be reconciled because the secant substitution results in /tan e = - tan 0 in this case. O D. The two results can be reconciled by changing the constant of integration.
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