Question Number 153946 by talminator2856791 last updated on 12/Sep/21 $$\: \\ $$$$\:\:\mathrm{show}\:\mathrm{whether} \\ $$$$\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\mathrm{sin}\left({x}^{\mathrm{2}} \right)\mathrm{cos}\left(\sqrt{{x}}\right){dx} \\ $$$$\:\:\mathrm{is}\:\mathrm{solvable} \\ $$$$\: \\ $$ Terms of…
Question Number 22872 by Physics lover last updated on 23/Oct/17 Commented by ajfour last updated on 23/Oct/17 Commented by ajfour last updated on 24/Oct/17 $${I}_{{disc}}…
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Question Number 22856 by FilupS last updated on 23/Oct/17 $$\mathrm{solve}:\:\mathrm{sin}\left({x}\right)=\mathrm{2},\:\:\:{x}\in\mathbb{C} \\ $$ Commented by Tinkutara last updated on 23/Oct/17 $${Write}\:{as}\:{e}^{{i}\theta} =\mathrm{cos}\:\theta+{i}\mathrm{sin}\:\theta\:{and} \\ $$$${e}^{−{i}\theta} =\mathrm{cos}\:\theta−{i}\mathrm{sin}\:\theta \\…
Question Number 22855 by NECx last updated on 23/Oct/17 $${Equal}\:{forces}\:{act}\:{on}\:{two}\:{bodies} \\ $$$${which}\:{are}\:{initially}\:{at}\:{rest},{for} \\ $$$${equal}\:{times}.{If}\:{the}\:{ratio}\:{of}\:{the}\: \\ $$$${masses}\:{is}\:\mathrm{4}:\mathrm{3},{What}\:{is}\:{the}\:{ratio} \\ $$$${of}\:{the}\:{distance}\:{covered}? \\ $$ Commented by NECx last updated…
Question Number 153924 by ZiYangLee last updated on 12/Sep/21 $$\int\:\frac{\mathrm{1}+\mathrm{sin}\:{x}}{\mathrm{sin}\:{x}\left(\mathrm{1}+\mathrm{cos}\:{x}\right)}\:{dx}\:=? \\ $$ Answered by ArielVyny last updated on 12/Sep/21 $$\int\frac{\left(\mathrm{1}+{sinx}\right)}{{sinx}\left(\mathrm{1}+{cosx}\right)}{dx}=\int\frac{\mathrm{1}}{{sinx}\left(\mathrm{1}+{cosx}\right)}+\int\frac{\mathrm{1}}{\mathrm{1}+{cosx}}{dx} \\ $$$${t}={tan}\left(\frac{{x}}{\mathrm{2}}\right)\rightarrow{dt}=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{1}+{t}^{\mathrm{2}} \right){dx} \\ $$$${dx}=\frac{\mathrm{2}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 88388 by M±th+et£s last updated on 10/Apr/20 Answered by mind is power last updated on 10/Apr/20 $$\mathrm{49}{sec}^{\mathrm{2}} \left({x}\right)+\mathrm{28}{tan}\left({x}\right)+\mathrm{9}{sin}^{\mathrm{2}} \left({x}\right)−\mathrm{6}{sin}\left({x}\right)−\mathrm{44} \\ $$$$=\mathrm{49}\left(\mathrm{1}+{tg}^{\mathrm{2}} \left({x}\right)\right)+\mathrm{28}{tg}\left({x}\right)+\left(\mathrm{3}{sin}\left({x}\right)−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{45}…
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Question Number 88385 by M±th+et£s last updated on 10/Apr/20 $${if}\:\:\:{f}\left({x}\right)=\sqrt{{x}−\mathrm{2}} \\ $$$${is}\:{there}\:{cirtical}\:{point}\:{in}\:\left(\mathrm{2},\mathrm{0}\right)\: \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153916 by EDWIN88 last updated on 12/Sep/21 $${The}\:{value}\:{of}\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{\left(\mathrm{3}_{{n}} \right)\left(\mathrm{2}_{{n}} \right){x}^{{n}} }{\left(\mathrm{1}_{{n}} \right){n}!}\:\beta\left(\mathrm{2},{n}+\mathrm{1}\right)\:{is} \\ $$$${a}.\:\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(\mathrm{2}_{{n}} \right)\frac{{x}^{{n}} }{{n}!} \\ $$$${b}.\:\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}=\mathrm{0}} {\overset{\infty}…