Question Number 154478 by mnjuly1970 last updated on 18/Sep/21 $$ \\ $$$$ \\ $$$$\:\:{prove}\:{that}\:# \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{sin}^{\:\mathrm{3}} \left(\:{x}\:\right).{ln}\left(\:{x}\:\right)}{{x}}\:{dx}\:\overset{?} {=}\:\frac{\pi}{\mathrm{8}}\:\left(−\mathrm{2}\gamma\:+{ln}\left(\mathrm{3}\right)\right)\:…..\blacksquare\:{m}.{n}\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\: \\ $$$$ \\…
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Question Number 154058 by mnjuly1970 last updated on 13/Sep/21 Answered by qaz last updated on 14/Sep/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{xsin}\:\left(\mathrm{lnx}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$$$=−\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{e}^{−\mathrm{2u}} \mathrm{sin}\:\mathrm{u}}{\mathrm{1}+\mathrm{e}^{−\mathrm{2u}}…
Question Number 153956 by liberty last updated on 12/Sep/21 $$\:{Max}\:\&\:{min}\:{value}\:{of}\:{function} \\ $$$$\:{f}\left({x}\right)=\sqrt{\mathrm{6}−{x}}\:+\sqrt{\mathrm{12}+{x}}\:. \\ $$ Answered by EDWIN88 last updated on 12/Sep/21 $$\:{domain}\:{of}\:{f}\left({x}\right)\:=\:\left[−\mathrm{12},\mathrm{6}\:\right] \\ $$$${by}\:{Chaucy}\:−{Schward}\:{inequality} \\…
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Question Number 88385 by M±th+et£s last updated on 10/Apr/20 $${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
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Question Number 88179 by ubaydulla last updated on 08/Apr/20 $${z}={x}^{\mathrm{2}} /{y}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:{dz}=? \\ $$ Answered by TANMAY PANACEA. last updated on 08/Apr/20 $${dz}=\left(\frac{\partial{z}}{\partial{x}}\right)_{{y}} {dx}+\left(\frac{\partial{z}}{\partial{y}}\right)_{{x}} {dy}…
Question Number 88029 by M±th+et£s last updated on 07/Apr/20 Answered by mind is power last updated on 08/Apr/20 $$−\mathrm{4}{sin}^{\mathrm{2}} \left(\mathrm{4}{x}\right)−\mathrm{8}{sin}\left(\mathrm{4}{x}\right)−\mathrm{9}{cos}^{\mathrm{2}} \left(\mathrm{4}{x}\right)+\mathrm{12}{cos}\left(\mathrm{4}{x}\right)−\mathrm{4}+\mathrm{6}{sin}\left(\mathrm{8}{x}\right) \\ $$$$=−\left(\mathrm{2}{sin}\left(\mathrm{4}{x}\right)−\mathrm{3}{cos}\left(\mathrm{4}{x}\right)+\mathrm{2}\right)^{\mathrm{2}} \\ $$$${f}\left({x}\right)=\frac{−\left(\mathrm{2}{sin}\left(\mathrm{4}{x}\right)−\mathrm{3}{cos}\left(\mathrm{4}{x}\right)+\mathrm{2}\right)^{\mathrm{2}}…