Question

Quick Integral !

Answer 1

\[\int\limits_{0}^{+\infty}\frac{ x^p }{ 1+x }\]

Answer 2

Find the value of p parameter which makes this integral converge.

Answer 3

\(\large p\in (-1, ~0)\)

Answer 4

\[p \in(-\infty,-1) \]

Answer 5

\[\lim_{x \rightarrow +\infty} x^\alpha*\frac{ |x^p| }{ |1+x| }=0 ;(\alpha=-p)=>\alpha \in(1,+\infty)\]

Answer 6

@ganeshie8

Answer 7

this is not quick man!