Provide an Appropriate Response $p$ For Which $\int _ { 0 } ^ { 1 } \frac { 1 } { x p } d x$

question 456

Essay

Provide an appropriate response.
-(a) Find the values of $p$ for which $\int _ { 0 } ^ { 1 } \frac { 1 } { x p } d x$ converges.
(b) Find the values of $p$ for which $\int _ { 0 } ^ { 1 } \frac { 1 } { x _ { p } } d x$ diverges.

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