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Question Number 222787 by Nicholas666 last updated on 07/Jul/25

       ∫_1 ^( π/2)   ((4^(−x)  ∙ e^(tan(x+x^2 )) ∙ ln(1 + x^3 ))/(1 + x))  dx

$$ \\ $$$$\:\:\:\:\:\int_{\mathrm{1}} ^{\:\pi/\mathrm{2}} \:\:\frac{\mathrm{4}^{−{x}} \:\centerdot\:{e}^{\mathrm{tan}\left({x}+{x}^{\mathrm{2}} \right)} \centerdot\:\mathrm{ln}\left(\mathrm{1}\:+\:{x}^{\mathrm{3}} \right)}{\mathrm{1}\:+\:{x}}\:\:\mathrm{d}{x}\:\:\:\:\: \\ $$$$ \\ $$

Answered by gabthemathguy25 last updated on 08/Jul/25

This is really hard. Im going to evaluate it numerically.  =0.0455994

$$\mathrm{This}\:\mathrm{is}\:\mathrm{really}\:\mathrm{hard}.\:\mathrm{Im}\:\mathrm{going}\:\mathrm{to}\:\mathrm{evaluate}\:\mathrm{it}\:\mathrm{numerically}. \\ $$$$=\mathrm{0}.\mathrm{0455994} \\ $$

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