Answer
$$ \displaystyle\int {\left({x}^{5}+{x}^{2}\right)}^{9}\, \mathrm d x = {{x^{19}\,\left(4380937825\,x^{27}+42179261850\,x^{24}+181370825955 \,x^{21}+457511993400\,x^{18}+746821048050\,x^{15}+819094052700\,x^{ 12}+604569419850\,x^9+290193321528\,x^6+82441284525\,x^3+10606481050 \right)}\over{201523139950}} $$
Explanation
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