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calculate-lim-t-8-0-pi-2-e-x-sin-tx-sin-2tx-cos-3tx-cos-4tx-dx-




Question Number 167002 by qaz last updated on 04/Mar/22
calculate  ::  lim_(t→∞) 8∫_0 ^(π/2) e^x ∙sin (tx)∙sin (2tx)∙cos (3tx)∙cos (4tx)dx=?
$$\mathrm{calculate}\:\:::\:\:\underset{\mathrm{t}\rightarrow\infty} {\mathrm{lim}8}\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \mathrm{e}^{\mathrm{x}} \centerdot\mathrm{sin}\:\left(\mathrm{tx}\right)\centerdot\mathrm{sin}\:\left(\mathrm{2tx}\right)\centerdot\mathrm{cos}\:\left(\mathrm{3tx}\right)\centerdot\mathrm{cos}\:\left(\mathrm{4tx}\right)\mathrm{dx}=? \\ $$

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