Question Number 64175 by harish kumar last updated on 15/Jul/19 $${m}^{\mathrm{3}} \:−\mathrm{4}{m}\: \\ $$ Commented by Prithwish sen last updated on 15/Jul/19 $$\mathrm{m}\left(\mathrm{m}^{\mathrm{2}} −\mathrm{4}\right)\:=\:\mathrm{m}\left(\mathrm{m}−\mathrm{2}\right)\left(\mathrm{m}+\mathrm{2}\right) \\…
Question Number 64174 by gajrajgchouhan last updated on 15/Jul/19 $$\mathrm{2}^{{n}} \:/\:\mathrm{5}^{\mathrm{2}^{{n}} } \:+\:\mathrm{1}\:{infinite}\:{series}\:{sum}\:{ffom}\:\mathrm{0}\:{to}\: \\ $$$${infinity} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64173 by Eminem last updated on 14/Jul/19 $${show}\:{tbat}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\left(\mathrm{1}−\frac{{sin}^{\mathrm{2}} \left(\frac{\theta}{\mathrm{2}{n}}\right)}{{sin}^{\mathrm{2}} \left(\frac{\mathrm{2}{k}−\mathrm{1}}{\mathrm{4}}\pi\right)}\right)={cos}\left(\theta\right) \\ $$ Commented by Prithwish sen last updated on 15/Jul/19 $$\mathrm{Is}'\mathrm{nt}\:\mathrm{it}\:\mathrm{cos}^{\mathrm{n}}…
Question Number 129702 by mathdave last updated on 18/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64166 by mathmax by abdo last updated on 14/Jul/19 $${calculate}\:\:{A}_{{n}} =\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} \:+\mathrm{2}\right)….\left({x}^{\mathrm{2}} \:+{n}\right)} \\ $$$${with}\:{n}\:{integr}\:{natural}\:\:{and}\:{n}\geqslant\mathrm{1} \\ $$ Answered by Eminem…
Question Number 129696 by Eric002 last updated on 17/Jan/21 $${nice}\:{old}\:{question}\:{by}\:{sir}\:{m}?{th}+{et}?{s}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} {cos}\left(\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+{tx}\right){dx} \\ $$$$ \\ $$ Commented by mathdave last updated on…
Question Number 64160 by mathmax by abdo last updated on 14/Jul/19 $${let}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dt}}{{x}\:+\mathrm{2}^{{t}} }\:\:{with}\:{x}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{also}\:{g}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dt}}{\left({x}+\mathrm{2}^{{x}} \right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{3}\right)\:{give}\:{f}^{\left({n}\right)}…
Question Number 64159 by mathmax by abdo last updated on 14/Jul/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{dx}}{\mathrm{3}+\mathrm{2}^{{x}} } \\ $$ Commented by turbo msup by abdo last updated…
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Question Number 129688 by Engr_Jidda last updated on 17/Jan/21 $${complex}\:{analysis} \\ $$$$\oint_{{C}} \frac{\varrho^{\mathrm{2}{z}} +{sinz}^{\mathrm{2}} }{\left({z}−\mathrm{2}\right)\left({z}−\mathrm{3}\right)}{dz}\:\:\:{C}:\mid{Z}\mid=\mathrm{5} \\ $$ Answered by mathmax by abdo last updated on…