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Complex Numbers

∫x3 - x2 + x ...

Question

$\int \frac{x^{3} - x^{2} + x - 1}{x - 1} d x$

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Solution

$\int \frac{x^{2} (x - 1)}{x - 1} d x + \int \frac{x - 1}{x - 1} d x$
$\int x^{2} d x + \int d x$
$⟹ \frac{x^{3}}{3} + x + C$

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