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Author: Tinku Tara

Mathematical-Analysis-evaluation-F-0-e-2-x-sin-2-2-x-dx-

Question Number 139789 by mnjuly1970 last updated on 01/May/21 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:……\mathscr{M}{athematical}\:…\:…\:…\:\mathscr{A}{nalysis}……. \\ $$$$\:\:\:\:{evaluation}\:::\:\mathscr{F}\::=\int_{\mathrm{0}} ^{\:\infty} {e}^{\frac{−\mathrm{2}}{{x}}} {sin}^{\mathrm{2}} \left(\frac{\mathrm{2}}{{x}}\right){dx}=? \\ $$$$ \\ $$$$\:\:\:\: \\ $$ Answered…

Question-74246

Question Number 74246 by TawaTawa last updated on 20/Nov/19 Answered by MJS last updated on 20/Nov/19 $$\mathrm{1}\:\mathrm{2}\:\mathrm{49} \\ $$$$… \\ $$$$\mathrm{1}\:\mathrm{25}\:\mathrm{26} \\ $$$$\mathrm{24}\:\mathrm{triples} \\ $$$$\mathrm{2}\:\mathrm{3}\:\mathrm{47}…

Question-74240

Question Number 74240 by ajfour last updated on 20/Nov/19 Commented by ajfour last updated on 21/Nov/19 $${Q}.\mathrm{73828}\:\:\:\left({If}\:{each}\:{face}\:{of}\:{outer}\right. \\ $$$${cube}\:{contains}\:{one}\:{corner}\:{of} \\ $$$${inner}\:{cube},\:{find}\:{range}\:{of}\:{s}/{a}. \\ $$$$\left(\boldsymbol{{s}}\:{being}\:{side}\:{length}\:{of}\:{inner}\:{cube},\right. \\ $$$$\left.\:\:{and}\:\boldsymbol{{a}}\:{that}\:{of}\:{outer}.\right)…