x4 Consider the indefinite integral dx. 6+ 9x5 The most appropriate substitution to simplify this integral is u = Σ Then du = E dx (fill in the blank with a suitable constant or function of x), and so x dx = c du, for the constant c = Σ After making the substitution we obtain the integral | f(u) du, where f(u) Σ This last integral, when evaluated, is Σ After substituting back for u we obtain the following final form of the answer: dx = Σ 6+9x5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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x4
Consider the indefinite integral
dx.
6 + 9x5
The most appropriate substitution to simplify this integral is u =
Σ
Then du
E dx (fill in the blank with a suitable constant or function of x),
and so x dx
c du, for the constant c =
Σ
After making the substitution we obtain the integral
| f(u) du, where f(u) =
Σ
This last integral, when evaluated, is
Σ
After substituting back for u we obtain the following final form of the answer:
.4
dx
Σ
6+ 9x5
Transcribed Image Text:x4 Consider the indefinite integral dx. 6 + 9x5 The most appropriate substitution to simplify this integral is u = Σ Then du E dx (fill in the blank with a suitable constant or function of x), and so x dx c du, for the constant c = Σ After making the substitution we obtain the integral | f(u) du, where f(u) = Σ This last integral, when evaluated, is Σ After substituting back for u we obtain the following final form of the answer: .4 dx Σ 6+ 9x5
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