- #1
logicalman
- 22
- 0
Who can solve or give hint for the following integral?
[tex]\int_0^4 3x \sqrt{5^2-x^2}dx[/tex]
[tex]\int_0^4 3x \sqrt{5^2-x^2}dx[/tex]
Can You Tackle This Tricky Definite Integral Challenge?
- Thread starter logicalman
- Start date
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Homework Help Overview
The discussion revolves around evaluating a definite integral involving a polynomial and a square root, specifically the integral of the form \(\int_0^4 3x \sqrt{5^2-x^2}dx\). The subject area is calculus, focusing on integration techniques.
Discussion Character
- Exploratory, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss various techniques for solving the integral, including substitution methods. One participant suggests using a specific substitution, while another expresses a preference for a different approach.
Discussion Status
The discussion is active, with participants offering hints and alternative methods for tackling the integral. There is an exchange of ideas regarding the effectiveness of different substitution techniques, indicating a collaborative exploration of the problem.
Contextual Notes
Participants are working within the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an implicit understanding of the need to explore reasoning rather than provide direct solutions.
- #2
Hurkyl
Staff Emeritus
Science Advisor
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Try a technique you learned in class!
- #3
mathlete
- 148
- 0
Try [tex]u=5^2-x^2[/tex], which means [tex]du = -2xdx[/tex]
- #4
logicalman
- 22
- 0
Thanks!
[tex]u^2=5^2-x^2[/tex] << This one works better.
[tex]u^2=5^2-x^2[/tex] << This one works better.
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