The discussion revolves around evaluating the integral of the expression (x+5)(x-5)^(1/3) with respect to x, focusing on the use of substitution as a method for simplification.
There is an ongoing exploration of the substitution method, with participants providing guidance on how to proceed after the substitution. Multiple interpretations of the next steps are being discussed, particularly regarding the integration of the resulting expression.
Participants are navigating the implications of the substitution and the resulting integral, with some uncertainty about how to effectively simplify and integrate the expression.
Tom Mattson said:That's exactly the substitution you want to go with. If u=x-5 then x=u+5, which you can use in the other factor in the integrand.
htoor9 said:So then what? I have integral of (u+10)(u)^(1/3) du.