Hi, i need to integrate [x^(n+1)]/(1-x) dx. i cant find it in any sort of table, or trig sub doesnt work, parts is messy too. thanks.
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Originally Posted by lauren2988 Hi, i need to integrate [x^(n+1)]/(1-x) dx. i cant find it in any sort of table, or trig sub doesnt work, parts is messy too. thanks. after some long division ... $\displaystyle \frac{x^{n+1}}{1-x} = \frac{1}{1-x} - x^n - x^{n-1} - x^{n-2} - ... - x^3 - x^2 - x - 1$
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