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x-0-112123123412345123456-decimal-pattern-1-12-123-Can-this-be-represented-as-a-fraction-or-is-this-number-trancendental-

Question Number 6449 by Temp last updated on 27/Jun/16 $${x}=\mathrm{0}.\mathrm{112123123412345123456}… \\ $$$$\mathrm{decimal}\:\mathrm{pattern}:\:\mathrm{1},\:\mathrm{12},\:\mathrm{123},\:… \\ $$$$\mathrm{Can}\:\mathrm{this}\:\mathrm{be}\:\mathrm{represented}\:\mathrm{as}\:\mathrm{a}\:\mathrm{fraction}? \\ $$$$\mathrm{or}\:\mathrm{is}\:\mathrm{this}\:\mathrm{number}\:\mathrm{trancendental}? \\ $$ Commented by prakash jain last updated on…

Question-71983

Question Number 71983 by device4438043516@gmail.com last updated on 23/May/20 $$ \\ $$ Answered by Henri Boucatchou last updated on 23/Oct/19 $$\boldsymbol{{d}}\left(\boldsymbol{{e}}^{\boldsymbol{{vlnu}}} \right)\:=\:\boldsymbol{{u}}^{\boldsymbol{{v}}} \:\boldsymbol{{d}}\left(\boldsymbol{{vlnu}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\boldsymbol{{u}}^{\boldsymbol{{v}}}…

I-dx-sinx-sin2x-

Question Number 6444 by sanusihammed last updated on 27/Jun/16 $${I}\:=\:\int\frac{{dx}}{{sinx}\:+\:{sin}\mathrm{2}{x}} \\ $$ Commented by Temp last updated on 27/Jun/16 $$\mathrm{Try}\:\mathrm{www}.\mathrm{WolframAlpha}.\mathrm{com} \\ $$$$\mathrm{search}: \\ $$$$“{int}\:\mathrm{1}/\left({sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)\right)\:{dx}'' \\…

Calculate-the-workdone-by-a-force-of-30kg-whose-line-of-action-has-direction-cosines-2-5-1-5-and-3-5-on-a-displacement-from-the-point-1-2-5-to-the-point-7-5-2-

Question Number 6443 by sanusihammed last updated on 27/Jun/16 $${Calculate}\:{the}\:{workdone}\:{by}\:{a}\:{force}\:{of}\:\:\mathrm{30}{kg}\:{whose}\:{line}\:{of}\:{action} \\ $$$${has}\:{direction}\:{cosines}\:\:\frac{\mathrm{2}}{\mathrm{5}},\:\frac{\mathrm{1}}{\mathrm{5}},\:{and}\:\:\frac{\mathrm{3}}{\mathrm{5}}\:{on}\:{a}\:{displacement}\:{from}\:\:\: \\ $$$${the}\:{point}\:\left(\mathrm{1},\mathrm{2},\mathrm{5}\right)\:{to}\:{the}\:{point}\:\left(\mathrm{7},\mathrm{5},\mathrm{2}\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

After-looking-at-a-previous-question-I-was-wondering-if-the-following-is-correct-I-n-0-n-1-x-dx-n-R-I-n-0-n-e-ipix-dx-1-I-n-i-pi-e-ipix-0-n-I-n-i-pi-e-ipix-0-n-

Question Number 6441 by Temp last updated on 27/Jun/16 $$\mathrm{After}\:\mathrm{looking}\:\mathrm{at}\:\mathrm{a}\:\mathrm{previous}\:\mathrm{question} \\ $$$$\mathrm{I}\:\mathrm{was}\:\mathrm{wondering}\:\mathrm{if}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{is}\:\mathrm{correct}: \\ $$$${I}\left({n}\right)=\int_{\mathrm{0}} ^{\:{n}} \left(−\mathrm{1}\right)^{{x}} {dx},\:\:{n}\in\mathbb{R} \\ $$$${I}\left({n}\right)=\int_{\mathrm{0}} ^{\:{n}} {e}^{{i}\pi{x}} {dx}\:\:\:\left(\mathrm{1}\right) \\…

H-0-4-tanx-dx-

Question Number 6439 by sanusihammed last updated on 27/Jun/16 $${H}\:=\:\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{4}}} \sqrt{{tanx}}\:{dx}\: \\ $$ Commented by Temp last updated on 27/Jun/16 $$\int\sqrt{\mathrm{tan}{x}}{dx}\:\mathrm{is}\:\mathrm{difficult}\:\mathrm{to}\:\mathrm{solve}. \\ $$ Commented…

sin-1-x-x-3-dx-

Question Number 137508 by EDWIN88 last updated on 03/Apr/21 $$\int\:\frac{\mathrm{sin}\:\left(\frac{\mathrm{1}}{{x}}\right)}{{x}^{\mathrm{3}} }\:{dx}\:=? \\ $$ Answered by liberty last updated on 03/Apr/21 $${L}=\int\:\frac{\mathrm{1}}{{x}}\mathrm{sin}\:\left(\frac{\mathrm{1}}{{x}}\right)\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)\:{dx} \\ $$$${let}\:{t}\:=\:\frac{\mathrm{1}}{{x}}\:\Rightarrow−{dt}\:=\:\frac{{dx}}{{x}^{\mathrm{2}} }…