Use the substitution u=4x+5x to evaluate the following indefinite integral. (8x+5)√4 2 (8x+5)√4x²+5x dx Write the integrand in terms of u. 2 dx = 10 du (8x+5)√4x²+5x dx = Evaluate the integral. √(8x+5)√4x² + 5x dx = = (Type an expression using x as the variable.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
Question
Use the substitution u=4x+5x to evaluate the following indefinite integral.
(8x+5)√4
2
(8x+5)√4x²+5x dx
Write the integrand in terms of u.
2
dx = 10
du
(8x+5)√4x²+5x dx =
Evaluate the integral.
√(8x+5)√4x² + 5x dx =
=
(Type an expression using x as the variable.)
Transcribed Image Text:Use the substitution u=4x+5x to evaluate the following indefinite integral. (8x+5)√4 2 (8x+5)√4x²+5x dx Write the integrand in terms of u. 2 dx = 10 du (8x+5)√4x²+5x dx = Evaluate the integral. √(8x+5)√4x² + 5x dx = = (Type an expression using x as the variable.)
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