Question Number 135368 by Bird last updated on 12/Mar/21 $${calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{xarctan}\left(\mathrm{2}{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 12/Mar/21 $${I}\left({a}\right)=\int_{\mathrm{0}}…
Question Number 4298 by Yozzii last updated on 08/Jan/16 $${Find}\:{Q}=\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{3}} }{{e}^{{x}/{T}} −\mathrm{1}}{dx}\:,{where}\:{Q}\:{is} \\ $$$${assumed}\:{finite}\:{for}\:{T}\:{being}\:{a}\: \\ $$$${positive}\:{constant},\:{and}\:{Q}\:{taking}\:{the} \\ $$$${form}\:{Q}={KT}^{{n}} \:,{where}\:{K}={constant} \\ $$$${and}\:{n}\in\mathbb{Z}. \\ $$$$…
Question Number 135361 by leena12345 last updated on 12/Mar/21 $${f}\left({x}\right)=\mathrm{3}{x}^{\mathrm{2}} +\mathrm{6}{x},\left[−\mathrm{1},\mathrm{5}\right] \\ $$$${find}−{the}−{average}−{value} \\ $$$$ \\ $$ Answered by mr W last updated on 12/Mar/21…
Question Number 69789 by mathmax by abdo last updated on 27/Sep/19 $${solve}\:{sin}\left(\mathrm{2}{x}\right){y}^{'} \:−\mathrm{3}\left({cosx}\right){y}\:={xe}^{−{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69784 by mathmax by abdo last updated on 27/Sep/19 $${calculate}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{{a}}{{x}^{\mathrm{2}} }\right)} {dx}\:\:{with}\:{a}>\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 135257 by leena12345 last updated on 11/Mar/21 $$\int{t}^{\mathrm{7}} {ln}\left({t}\right){dt} \\ $$ Commented by leena12345 last updated on 11/Mar/21 $${help} \\ $$ Answered by…
Question Number 135259 by leena12345 last updated on 11/Mar/21 $$\int\left({x}^{\mathrm{2}} +\mathrm{3}{x}\right)\mathrm{cos}\:\left({x}\right){dx} \\ $$ Answered by Ar Brandon last updated on 11/Mar/21 $$\mathcal{I}=\int\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3x}\right)\mathrm{cosxdx} \\ $$$$\:\:\:=\left(\mathrm{x}^{\mathrm{2}}…
Question Number 135231 by Chhing last updated on 11/Mar/21 $$ \\ $$$$\:\:\int\sqrt{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}\right)^{\mathrm{3}} }\:\mathrm{dx} \\ $$$$ \\ $$$$\:\mathrm{help}\:\mathrm{me} \\ $$$$ \\ $$ Terms of Service…
Question Number 69692 by Ajao yinka last updated on 26/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 4156 by Yozzii last updated on 30/Dec/15 $${Let}\:{I}\left({n}\right)=\int_{\mathrm{0}} ^{{n}} \left\{\sqrt{{a}+{coshx}}−\sqrt{{a}+{sinhx}}\right\}{dx} \\ $$$${with}\:\mathrm{0}<{a}<\mathrm{1}\:{and}\:{define}\:{I}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}{I}\left({n}\right). \\ $$$${Does}\:{I}\:{exist}?\: \\ $$ Commented by 123456 last updated on…