How did du become 6x^2dx? So basically what I am asking is, where did the 6 derive from? Using Substitution to Evaluate aDefinite IntegralUse substitution to evaluate5x² (1 + 2x³ )°dx.[Hide Solution]Let u = 1+ 2x³, so du =6x² dx.Since the original function includes onefactor of x2 and du6x² dx, multiplyboth sides of the du equation by 1/6.Then,duбх? dxdux² dx.

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Math

Calculus

Using Substitution to Evaluate a Definite Integral Use substitution to evaluate 1 x² (1+ 2x )°dx.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

How did du become 6x^2dx? So basically what I am asking is, where did the 6 derive from?

Using Substitution to Evaluate a
Definite Integral
Use substitution to evaluate
5
x² (1 + 2x³ )°dx.
[Hide Solution]
Let u = 1+ 2x³, so du =
6x² dx.
Since the original function includes one
factor of x2 and du
6x² dx, multiply
both sides of the du equation by 1/6.
Then,
du
бх? dx
du
x² dx.

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