- #1
logicalman
- 22
- 0
Who can solve or give hint for the following integral?
\int_0^4 3x \sqrt{5^2-x^2}dx
\int_0^4 3x \sqrt{5^2-x^2}dx
Can You Tackle This Tricky Definite Integral Challenge?
- Thread starter logicalman
- Start date
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The discussion centers around solving the definite integral ∫_0^4 3x √(5² - x²) dx. Participants suggest using substitution techniques, specifically u = 5² - x², which leads to du = -2xdx. Another participant proposes that using u² = 5² - x² may yield better results. The conversation emphasizes applying learned techniques from class to tackle the integral challenge effectively. Overall, the thread encourages collaborative problem-solving in calculus.
- #2
Hurkyl
Staff Emeritus
Science Advisor
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Try a technique you learned in class!
- #3
mathlete
- 148
- 0
Try u=5^2-x^2, which means du = -2xdx
- #4
logicalman
- 22
- 0
Thanks!
u^2=5^2-x^2 << This one works better.
u^2=5^2-x^2 << This one works better.
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