Find the integrals \(\int\frac{x^3 - x^2 + x - 1}{x - 1}dx\)

1.	Find the integrals \(\int\frac{x^3 - x^2 + x - 1}{x - 1}dx\)
Answer» \(\int\frac{x^2(x - 1) + 1(x - 1)}{(x - 1)}\) = ∫(x² + 1)dx = \(\frac{x^3}{3}\)+ x + c

Answer»

\(\int\frac{x^2(x - 1) + 1(x - 1)}{(x - 1)}\)

= ∫(x² + 1)dx

= \(\frac{x^3}{3}\)+ x + c

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