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If k is a a real number such that [tex] \rm \bigg (\int_{ 0 }^1 {x}^{2018} (2019+ {kx}^{10} ) \sqrt{1 + {x}^{10} } dx \bigg)^{2} = 8 \\ [/tex] Find the largest possible value of k.
Sagot :
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