Question

can someone please solve and explain this

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Answer 1

Step-by-step explanation:

We have,

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

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

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

$= \int( {x}^{2} + 1)dx$

$= \frac{ {x}^{3} }{3} + x + c$

$= \frac{ {x}^{3} + 3x }{3} + c$

$= \frac{ {x}^{2}(x + 3) }{3} + c$

Answer 2

Answer:

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