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Homework Statement
integral of 1/x^2/3(1+x^1/3)
Homework Equations
integral of 1/x dx = ln|x| + c
The Attempt at a Solution
let u= x ^2/3(1+x^1/3)
This is very ambiguous. What exactly is the integrand?Homework Statement
integral of 1/x^2/3(1+x^1/3)
Homework Equations
integral of 1/x dx = ln|x| + c
The Attempt at a Solution
let u= x ^2/3(1+x^1/3)
Homework Statement
Homework Equations
The Attempt at a Solution
This is still very ambiguous.the problem is 1 divided by x^2/3(1+x^1/3) dx
Then try u = 1+ x^{1/3}, that should do it. I don't think that's too much help, is it?Then you should write the integrand as 1/[x^(2/3)(1+x^(1/3))]. Note the parentheses around the exponents.
Better yet, here's the LaTeX for your integral:
[tex]\int \frac{1}{x^{2/3}(1 + x^{1/3})} dx[/tex]
I would start with an ordinary substitution, u = x^{1/3}. I doubt very much that this will turn into du/u.