- #1
Can someone please check my answer: Trig Substitution problem
- Thread starter jimen113
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Homework Help Overview
The discussion revolves around a trigonometric substitution problem, where participants are examining the differentiation of a trigonometric function and its implications in the context of integration.
Discussion Character
- Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss the differentiation of x = cos(θ) and the corresponding expression for dx. There are attempts to clarify the correct form of dx and its negative sign, with some questioning the initial assumptions made in the differentiation process.
Discussion Status
The discussion is active, with participants providing corrections and affirmations regarding the differentiation process. There is acknowledgment of errors and a focus on clarifying the correct expressions involved.
Contextual Notes
Participants reference attachments that may contain additional context or details related to the problem, indicating that visual aids are part of the discussion.
- #2
HallsofIvy
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If you are letting x= cos(\theta) then dx= cos(\theta)d\theta. It looks to me like you forgot that cos(\theta).
- #3
- #4
Mark44
Mentor
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If x = cos(\theta), then dx = -sin(\theta)d\theta
- #5
HallsofIvy
Science Advisor
Homework Helper
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Yes, of course Mark44 is right. I don't know what came over me!
- #6
jimen113
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Thanks Mark44! that negative sign is sure important...
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