Question Number 97625 by mathmax by abdo last updated on 08/Jun/20 $$\mathrm{solve}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{y}^{''} −\left(\mathrm{x}+\mathrm{1}\right)\mathrm{y}^{'} \:\:=\mathrm{x}^{\mathrm{2}} \mathrm{sinx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 163158 by mnjuly1970 last updated on 04/Jan/22 $$ \\ $$$$\:\:\:\:\:{prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{\:{sin}\left({x}\right)+{cos}\left({x}\right)}{\:\sqrt{\mathrm{1}+{sin}\left({x}\right){cos}\left({x}\right)}}\:{dx}=\:\sqrt{\mathrm{2}}\:.{cot}^{\:−\mathrm{1}} \left(\sqrt{\mathrm{2}}\:\right) \\ $$$$\:\:\:−−−−− \\ $$ Answered by mahdipoor last…
Question Number 97620 by mathmax by abdo last updated on 08/Jun/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{sin}\left(\pi\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last…
Question Number 97619 by mathmax by abdo last updated on 08/Jun/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}\left(\mathrm{3x}\right)}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 97591 by M±th+et+s last updated on 08/Jun/20 $$\int\frac{{x}^{\mathrm{4}} }{{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} −\mathrm{7}{x}+\mathrm{4}}{dx} \\ $$ Answered by MJS last updated on 08/Jun/20 $$\int\frac{{x}^{\mathrm{4}} }{{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}}…
Question Number 32045 by abdo imad last updated on 18/Mar/18 $${find}\:{lim}_{{n}\rightarrow\infty} \:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{t}} \:{sin}^{{n}} {t}\:{dt}\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 163119 by tounghoungko last updated on 04/Jan/22 $$\:\:{f}\:'\left({x}\right)=\:{f}\left({x}\right)+\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx}\: \\ $$$$\:{f}\left(\mathrm{0}\right)=\mathrm{1}\:\Rightarrow{f}\left({x}\right)=? \\ $$ Answered by mr W last updated on 04/Jan/22 $${y}'={y}+{k}\:{with}\:{k}=\int_{\mathrm{0}}…
Question Number 32044 by abdo imad last updated on 18/Mar/18 $${fimd}\:\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\:\frac{\mathrm{1}}{{x}^{\mathrm{3}} }\:\int_{\mathrm{0}} ^{{x}} \:{t}^{\mathrm{2}} \:{ln}\left(\mathrm{1}+{sint}\right)\:{dt}\:. \\ $$ Commented by abdo imad last updated on…
Question Number 32043 by abdo imad last updated on 18/Mar/18 $${let}\:{f}\left({x}\right)=\:\int_{{x}} ^{{x}^{\mathrm{2}} } \:\:\:\frac{{dt}}{{lnt}}\:\:{with}\:{x}>\mathrm{0}\:{and}\:{x}\neq\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\forall\:{x}>\mathrm{1}\:\int_{{x}} ^{{x}^{\mathrm{2}} } \:\:\frac{{xdt}}{{tlnt}}\:\leqslant{f}\left({x}\right)\leqslant\:\int_{{x}} ^{{x}^{\mathrm{2}} } \:\frac{{x}^{\mathrm{2}} {dt}}{{tlnt}}\:\:{after} \\ $$$${find}\:{lim}_{{x}\rightarrow\mathrm{1}}…
Question Number 163114 by abdullahhhhh last updated on 03/Jan/22 $$\int\left(\frac{\boldsymbol{\mathrm{cos}}\mathrm{5}\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{cos}}\mathrm{4}\boldsymbol{\mathrm{x}}}{\mathrm{1}+\mathrm{2}\boldsymbol{\mathrm{cos}}\mathrm{3}\boldsymbol{\mathrm{x}}}\right)\:\boldsymbol{\mathrm{dx}} \\ $$$$\:\: \\ $$ Answered by blackmamba last updated on 04/Jan/22 $$\:\int\:\frac{\frac{{e}^{\mathrm{5}{x}} +{e}^{−\mathrm{5}{x}} }{\mathrm{2}}\:+\frac{{e}^{\mathrm{4}{x}} +{e}^{−\mathrm{4}{x}}…