Question Number 58240 by salaw2000 last updated on 20/Apr/19 $$\mathrm{i}=\int\mathrm{dx}/\left(\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} \\ $$ Commented by maxmathsup by imad last updated on 21/Apr/19 $${let}\:{I}\:=\int\:\:\frac{{dx}}{\left({ax}^{\mathrm{2}} \:+{bx}\:+{c}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\:\:{let}\:{p}\left({x}\right)={ax}^{\mathrm{2}}…
Question Number 58238 by Tawa1 last updated on 20/Apr/19 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\left(\frac{\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{3}} \:−\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:+\:\mathrm{2}\boldsymbol{\mathrm{x}}\:−\:\mathrm{4}}{\:\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:−\:\mathrm{3}\boldsymbol{\mathrm{x}}\:+\:\mathrm{2}}}\right)\:\:\boldsymbol{\mathrm{dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 123769 by oustmuchiya@gmail.com last updated on 28/Nov/20 Commented by oustmuchiya@gmail.com last updated on 17/Dec/20 $$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 123764 by mnjuly1970 last updated on 28/Nov/20 $$\:\:\:\:\:\:\:\:\:\:\:\:….\:{advanced}\:\:{calculus}\:… \\ $$$$\:\:\:\:\:\:\:{prove}\:\:{that}:::: \\ $$$$\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left\{\frac{\zeta\left(\mathrm{2}{n}+\mathrm{1}\right)}{\mathrm{4}^{{n}\:} \:\left(\mathrm{2}{n}+\mathrm{1}\right)}\right\}={ln}\left(\mathrm{2}\right)−\gamma \\ $$$$\:\:\:\:\:\:\:\:\gamma::\:\:{euler}−{mascheroni} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{constant} \\ $$ Answered by…
Question Number 123767 by oustmuchiya@gmail.com last updated on 28/Nov/20 Answered by physicstutes last updated on 28/Nov/20 $$\:\:\boldsymbol{\mathrm{s}}\:=\:\mathrm{2}{t}\:+\:\mathrm{3}\:\mathrm{sin}\:\mathrm{2}{t} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{Initiat}\:\mathrm{position}\:\mathrm{occurs}\:\mathrm{at}\:{t}\:=\:\mathrm{0}\:\mathrm{s} \\ $$$$\Rightarrow\:\boldsymbol{\mathrm{s}}_{\mathrm{0}} \:=\:\mathrm{2}\left(\mathrm{0}\right)\:+\:\mathrm{3}\:\mathrm{sin}\:\mathrm{2}\left(\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\boldsymbol{\mathrm{s}}_{\mathrm{0}} \:=\:\mathrm{0}\:\mathrm{m}…
Question Number 189293 by Rupesh123 last updated on 14/Mar/23 Answered by Sutrisno last updated on 14/Mar/23 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{sin}^{\mathrm{2}} {x}}{\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}+\frac{{cos}^{\mathrm{2}} {x}}{{sin}^{\mathrm{2}} {x}}}{dx} \\ $$$$\int_{\mathrm{0}}…
Question Number 58222 by salahahmed last updated on 20/Apr/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{x}} {dx} \\ $$ Commented by maxmathsup by imad last updated on 21/Apr/19 $${we}\:{have}\:{x}^{{x}}…
Question Number 58220 by maxmathsup by imad last updated on 20/Apr/19 $${find}\:\int\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +{x}\right)\sqrt{−{x}^{\mathrm{2}} \:+\mathrm{2}{x}\:+\mathrm{3}}} \\ $$$$ \\ $$ Answered by tanmay last updated on 20/Apr/19…
Question Number 58212 by maxmathsup by imad last updated on 20/Apr/19 $${let}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{x}\left[{t}\right]} \:{sin}\left({xt}\right){dt}\:\:\:{with}\:{x}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{let}\:{U}_{{n}} ={nf}\left({n}\right)\:\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{U}_{{n}} \:\:\:{and}\:{study}\:{the}\:{convergence}\:{of}\:\Sigma{U}_{{n}} \\ $$ Terms…