Question

integrate x^−3(x+1)dx​

Answer 1

Answer:

Integration of

${x}^{ - 3} (x + 1) = {x}^{ - 2} + {x}^{ - 3}$

its integration is

$\frac{ {x}^{ - 2 + 1} }{ - 2 + 1} + \frac{ {x}^{ - 3 + 1} }{ - 3 + 1} + c =$

$\frac{ {x}^{ - 1} }{ - 1} + \frac{ {x}^{ - 2} }{ - 2} + c =$

$- \frac{1}{x} - \frac{2}{ {x}^{2} } + c$

Ans.