Question Number 154930 by BHOOPENDRA last updated on 23/Sep/21 Commented by mr W last updated on 24/Sep/21 $${seems}\:{impossible}… \\ $$ Terms of Service Privacy Policy…
Question Number 23856 by Tinkutara last updated on 08/Nov/17 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\left({C}_{\mathrm{0}} \:+\:{C}_{\mathrm{1}} \right)\left({C}_{\mathrm{1}} \:+\:{C}_{\mathrm{2}} \right)…. \\ $$$$\left({C}_{{n}−\mathrm{1}} \:+\:{C}_{{n}} \right)\:\mathrm{is} \\ $$$$\left(\mathrm{1}\right)\:\frac{\left({n}\:+\:\mathrm{1}\right)^{{n}} }{{n}!}\:\centerdot\:{C}_{\mathrm{1}} {C}_{\mathrm{2}} …..{C}_{{n}} \\ $$$$\left(\mathrm{2}\right)\:\frac{\left({n}\:−\:\mathrm{1}\right)^{{n}}…
Question Number 154927 by physicstutes last updated on 23/Sep/21 $$\mathrm{Let}\:{I}_{{n}} =\int{x}^{{n}} {e}^{−{x}} {dx} \\ $$$$\mathrm{show}\:\mathrm{that}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} {x}^{{n}} {e}^{−{x}} {dx}={n}! \\ $$ Answered by…
Question Number 154926 by physicstutes last updated on 23/Sep/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{2}{x}^{\mathrm{2}} }{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx}= \\ $$ Answered by qaz last updated on 23/Sep/21 $$\int_{\mathrm{0}}…
Question Number 23851 by tawa tawa last updated on 08/Nov/17 $$\mathrm{Solve}\:\:\:\:\:\:\mathrm{sin}\left(\mathrm{83}\right)\:−\:\mathrm{cos}\left(\mathrm{17}\right)\:\:\:\:\:\:\mathrm{in}\:\mathrm{surd}\:\mathrm{form} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89384 by nimnim last updated on 17/Apr/20 Commented by mathmax by abdo last updated on 17/Apr/20 $${let}\:{try}\:{another}\:{way}\:\:{we}\:{consider}\:{the}\:{diffeomorphism} \\ $$$$\left({u},{v}\right)\rightarrow\left({x},{y}\right)\:/{x}−{y}={u}\:{and}\:{x}+{y}\:={v}\:\Rightarrow{x}\:=\frac{{u}+{v}}{\mathrm{2}}\:{andy}=\frac{−{u}+{v}}{\mathrm{2}} \\ $$$$\Rightarrow\varphi\left({u},{v}\right)=\left(\varphi_{\mathrm{1}} \left({u},{v}\right),\varphi_{\mathrm{2}} \left({u},{v}\right)\right)=\left({x},{y}\right)=\left(\frac{{u}}{\mathrm{2}}+\frac{{v}}{\mathrm{2}},−\frac{{u}}{\mathrm{2}}+\frac{{v}}{\mathrm{2}}\right)…
Question Number 23849 by Sudipta Jana last updated on 08/Nov/17 $$\int\frac{{x}^{\mathrm{6}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}{dx} \\ $$ Answered by anunil1234 last updated on 08/Nov/17 $$\int\left(\mathrm{x}^{\mathrm{2}} \:+\frac{\left(−\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)}{\mathrm{x}^{\mathrm{4}}…
Question Number 89385 by pete last updated on 17/Apr/20 Commented by pete last updated on 17/Apr/20 $$\:\mathrm{I}\:\mathrm{need}\:\mathrm{help}\:\mathrm{on}\:\mathrm{the}\:\mathrm{above}\:\mathrm{question},\:\mathrm{please}. \\ $$ Answered by Joel578 last updated on…
Question Number 89382 by M±th+et£s last updated on 17/Apr/20 $$\int_{\mathrm{0}} ^{\infty} {e}^{−\mathrm{2}{x}} \:{cos}\left(\mathrm{3}{x}\right)\:{sin}\left(\mathrm{4}{x}\right) \\ $$ Commented by mathmax by abdo last updated on 17/Apr/20 $${cos}\left(\mathrm{3}{x}\right){sin}\left(\mathrm{4}{x}\right)\:={cos}\left(\mathrm{3}{x}\right){cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{4}{x}\right)…
Question Number 154910 by mr W last updated on 23/Sep/21 Commented by mr W last updated on 23/Sep/21 $${tetrahedron}\:{T}−{ABC}\:{has}\:{edge}\:{lengthes} \\ $$$${a},{b},{c},{u},{v},{w}. \\ $$$${the}\:{faces}\:{of}\:{tetrahedron}\:{T}'−{A}'{B}'{C}' \\ $$$${have}\:{the}\:{distances}\:{d}_{\mathrm{1}}…