Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE".
∫
2
∞
7
(
x
+
2
)
3
2
d
x
\displaystyle {\int_{{{2}}}^{{\infty}}}{\frac{{{7}}}{{{\left({x}+{2}\right)}^{{\frac{{3}}{{2}}}}}}}{\left.{d}{x}\right.}
∫
2
∞
(
x
+
2
)
2
3
7
d
x
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity