Question Number 133124 by abdomsup last updated on 19/Feb/21 $${find}\:\int\:\:\frac{{dx}}{\left({x}+\mathrm{2}\right)^{\mathrm{2}} \left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133120 by abdomsup last updated on 19/Feb/21 $${calculate}\:{A}_{{n}} =\:\int\int_{\left[\frac{\mathrm{1}}{{n}},{n}\left[\right.\right.} \:\:\frac{{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} } }{\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{3}}}{dxdy} \\ $$$${and}\:{lim}_{{n}\rightarrow\infty} {A}_{{n}} \\ $$ Terms of Service…
Question Number 133121 by abdomsup last updated on 19/Feb/21 $${let}\:{u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{\:\sqrt{{k}}} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \left({n}+\rightarrow\infty\right) \\ $$ Answered by mindispower last updated on 19/Feb/21…
Question Number 133123 by abdomsup last updated on 19/Feb/21 $${find}\:\int\:\:\frac{{x}^{\mathrm{2}} {dx}}{{x}^{\mathrm{3}} −\mathrm{2}{x}+\mathrm{1}} \\ $$ Answered by Ñï= last updated on 19/Feb/21 $$\int\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{3}} −\mathrm{2}{x}+\mathrm{1}}{dx} \\…
Question Number 133119 by abdomsup last updated on 19/Feb/21 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{xsin}\left(\mathrm{2}{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{3}} }{dx} \\ $$ Answered by mindispower last updated on 19/Feb/21 $${let} \\…
Question Number 133109 by EDWIN88 last updated on 18/Feb/21 $$\int\:\frac{{dx}}{\left({x}^{\mathrm{4}} +\mathrm{1}\right)\:\sqrt[{\mathrm{4}}]{{x}^{\mathrm{4}} +\mathrm{2}}}\:? \\ $$ Commented by liberty last updated on 20/Feb/21 $$\mathrm{I}\:=\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)\:\sqrt[{\mathrm{4}}]{\mathrm{x}^{\mathrm{4}} +\mathrm{2}}} \\…
Question Number 67572 by aliesam last updated on 28/Aug/19 $$\int_{−\frac{\pi}{\mathrm{2}}} ^{\frac{\pi}{\mathrm{2}}} \left\{{sin}\mid{x}\mid+{cos}\mid{x}\mid\right\}\:{dx} \\ $$ Commented by mathmax by abdo last updated on 28/Aug/19 $$\int_{−\frac{\pi}{\mathrm{2}}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 133107 by mnjuly1970 last updated on 18/Feb/21 $$\:\:\:\:\:\:\:\:…\:{nice}\:\:\:{calculus}… \\ $$$$\:\:\:{find}::\:\:\:\boldsymbol{\phi}\overset{???} {=}\int_{\mathrm{0}} ^{\:\mathrm{1}} \left({sin}\left({x}\right)+{sin}\left(\frac{\mathrm{1}}{{x}}\right)\right)\frac{{dx}}{{x}} \\ $$ Answered by Dwaipayan Shikari last updated on 18/Feb/21…
Question Number 67542 by mathmax by abdo last updated on 28/Aug/19 $${let}\:{f}\left({a}\right)\:=\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({a}\:+{e}^{{ix}} \right)}\:\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right){find}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{also}\:{g}\left({a}\right)=\int_{−\infty} ^{+\infty} \:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({a}+{e}^{{ix}} \right)^{\mathrm{2}} }…
Question Number 2004 by Yozzi last updated on 29/Oct/15 $${Suppose}\:\mathrm{0}<{b}\leqslant{a}.\:{Show}\:{that}\:{the}\:{area}\:{of} \\ $$$${intersection}\:{E}\cap{F}\:{of}\:{the}\:{two}\:{regions} \\ $$$${defined}\:{by}\: \\ $$$${E}=\left\{\left({x},{y}\right):\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\leqslant\mathrm{1}\right\}\:{and} \\ $$$${F}=\left\{\left({x},{y}\right):\frac{{x}^{\mathrm{2}} }{{b}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{a}^{\mathrm{2}}…