Question Number 205269 by cherokeesay last updated on 14/Mar/24 Answered by som(math1967) last updated on 14/Mar/24 $$\:\int_{−\mathrm{2}} ^{\mathrm{2}} \mathrm{2}{f}\left({x}\right){dx}\:\:\left[\:\because{f}\left({x}\right)={f}\left(−{x}\right)\right] \\ $$$$=\mathrm{2}\int_{−\mathrm{2}} ^{\mathrm{2}} {f}\left({x}\right){dx} \\ $$$$=\mathrm{4}\int_{\mathrm{0}}…
Question Number 205286 by Nimnim111118 last updated on 14/Mar/24 $$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205280 by cherokeesay last updated on 14/Mar/24 Commented by mr W last updated on 14/Mar/24 $${figure}\:{is}\:{not}\:{uniquely}\:{defined}. \\ $$$${or}\:{you}\:{mean}\:{that}\:{the}\:{hypotenuse}\:{of} \\ $$$${both}\:{triangles}\:{is}\:{of}\:{same}\:{length}? \\ $$ Commented…
Question Number 205245 by pticantor last updated on 13/Mar/24 $$\boldsymbol{{calculate}} \\ $$$$\:\:\: \\ $$$$\int\frac{\mathrm{3}\boldsymbol{{xdx}}}{\:\sqrt{\mathrm{1}−\boldsymbol{{x}}^{\mathrm{4}} }} \\ $$$$\boldsymbol{{plsssssss}} \\ $$ Answered by mr W last updated…
Question Number 205211 by cortano12 last updated on 13/Mar/24 Answered by Berbere last updated on 13/Mar/24 $$\begin{cases}{\mathrm{5}{x}^{\mathrm{2}} \left({y}^{\mathrm{2}} −\mathrm{1}\right)=\mathrm{4}{x}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)}\\{\mathrm{5}{y}^{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)=\mathrm{3}{y}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)}\end{cases}…
Question Number 205237 by universe last updated on 13/Mar/24 Answered by Berbere last updated on 13/Mar/24 $${n}^{\mathrm{2}} +{x}^{\mathrm{2}} \geqslant{n}^{\mathrm{2}} \\ $$$$\frac{{x}}{\mathrm{1}+{x}}\leqslant\mathrm{1}\Rightarrow\frac{{nx}\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{\left(\mathrm{1}+{x}\right)\left({n}^{\mathrm{2}} +{x}^{\mathrm{2}} \right)}\leqslant{n}.\mathrm{1}.\frac{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{{n}^{\mathrm{2}}…
Question Number 205238 by necx122 last updated on 13/Mar/24 $$\mathrm{4}^{{x}} \:+\:{x}\:=\:\mathrm{260} \\ $$$${find}\:{the}\:{possible}\:{values}\:{of}\:{x} \\ $$$$ \\ $$ Commented by Ghisom last updated on 13/Mar/24 $$\mathrm{generally}…
Question Number 205264 by pticantor last updated on 13/Mar/24 $$\boldsymbol{{pls}}\:\boldsymbol{{how}}\:\boldsymbol{{to}}\:\boldsymbol{{calculate}}\:\boldsymbol{{this}}? \\ $$$$\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\mathrm{1}} \frac{\boldsymbol{{ln}}\left(\boldsymbol{{x}}+\mathrm{1}\right)}{\boldsymbol{{x}}}\boldsymbol{{dx}} \\ $$ Answered by Berbere last updated on 13/Mar/24 $$=−\left(−\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\mathrm{1}}…
Question Number 205262 by mathzup last updated on 13/Mar/24 $${nature}\:{of}\:{the}\:{serie}\:\sum_{{n}\geqslant\mathrm{1}} \:\frac{{ln}\left({n}\right)}{{n}} \\ $$ Answered by Berbere last updated on 13/Mar/24 $$\forall{n}\geqslant\mathrm{2}\:{ln}\left({n}\right)\geqslant{ln}\left(\mathrm{2}\right)>\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{{ln}\left({n}\right)}{{n}}\geqslant\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{{n}}\rightarrow+\infty\:{serie}\:{dv}…
Question Number 205230 by louisyanni last updated on 13/Mar/24 $$ \\ $$ Commented by Rasheed.Sindhi last updated on 13/Mar/24 $$\mathcal{R}{eserved}\:{space}\:{for}\:{a}\:{question}? \\ $$ Commented by Frix…