- #1
Kinetica
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Homework Statement
integral:
x2 sqrt(2+x3) dx
Homework Equations
The Attempt at a Solution
Should I use substitution? Should I do it as a power?
Integral Evaluation for x^2√(2+x^3) Using Substitution or Power Method
- Thread starter Kinetica
- Start date
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- Tags
- Integral
Click For Summary
Homework Help Overview
The discussion revolves around evaluating the integral of the function x²√(2+x³) with respect to x. Participants are exploring methods of integration, particularly focusing on substitution techniques.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants consider using substitution, specifically letting u = 2 + x³. There are questions about how to handle the differential dx and the relationship between du and the original variables.
Discussion Status
Some participants have provided guidance on substitution, while others express confusion regarding the correct application of the method. There is an ongoing exploration of the steps involved, with no clear consensus on the next steps.
Contextual Notes
Participants are grappling with the implications of their substitutions and the transformations required for the integral, indicating a need for clarity on the relationships between the variables involved.