Question Number 219522 by Nicholas666 last updated on 27/Apr/25
$$ \\ $$$$\:\:\:\underset{\:\mathrm{0}} {\int}^{\:\infty} \:\frac{\mathrm{10}{x}^{\mathrm{17}} {e}^{\mathrm{2}{x}} \left({e}^{\mathrm{2}{x}} −\mathrm{1}\right)+{x}^{\mathrm{17}} {e}^{{x}} \left({e}^{\mathrm{4}{x}} −\mathrm{1}\right)}{\left({e}^{{x}} −\mathrm{1}\right)^{\mathrm{6}} }\:{dx}\:\:\: \\ $$$$ \\ $$