Question Number 143080 by Mathspace last updated on 09/Jun/21 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Answered by qaz last updated on 10/Jun/21 $$\int_{\mathrm{0}} ^{\infty}…
Question Number 143083 by Mathspace last updated on 09/Jun/21 $${calculate}\:\Psi\left({a},{b}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{{e}^{−{ax}^{\mathrm{2}} } }{\left({x}^{\mathrm{2}} \:+{b}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$$${with}\:{a}>\mathrm{0}\:{and}\:{b}>\mathrm{0} \\ $$ Answered by Olaf_Thorendsen last…
Question Number 143082 by Mathspace last updated on 09/Jun/21 $${calculate}\:{f}\left({a},{b}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{{e}^{−{ax}^{\mathrm{2}} } }{{x}^{\mathrm{2}} \:+{b}^{\mathrm{2}} }{dx} \\ $$$${with}\:{a}>\mathrm{0}\:{and}\:{b}>\mathrm{0} \\ $$ Answered by Dwaipayan Shikari last…
Question Number 77545 by aliesam last updated on 07/Jan/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 12008 by tawa last updated on 09/Apr/17 Commented by chux last updated on 09/Apr/17 $$\mathrm{which}\:\mathrm{country}\:\mathrm{do}\:\mathrm{you}\:\mathrm{come}\:\mathrm{from}\:\mathrm{tawa} \\ $$ Answered by ajfour last updated on…
Question Number 143077 by mathdanisur last updated on 09/Jun/21 $${sin}^{\mathrm{5}} {x}\:+\:{cos}^{\mathrm{5}} {x}\:=\:\mathrm{2}\:−\:{sin}^{\mathrm{4}} {x} \\ $$ Answered by MJS_new last updated on 10/Jun/21 $$\mathrm{sin}\:{x}\:={s} \\ $$$$\mathrm{cos}\:{x}\:={c}…
Question Number 143072 by Feruzbek last updated on 09/Jun/21 Answered by mr W last updated on 09/Jun/21 $${say}\:{x}={n}+{f} \\ $$$$\mathrm{10000}{n}=\left({n}+{f}\right)^{\mathrm{2}} \geqslant{n}^{\mathrm{2}} \\ $$$${n}^{\mathrm{2}} −\mathrm{10000}{n}\leqslant\mathrm{0}\: \\…
Question Number 77539 by TawaTawa last updated on 07/Jan/20 Commented by TawaTawa last updated on 07/Jan/20 $$\mathrm{Sir}\:\:\mathrm{mrW}\:\mathrm{please}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{question}\:\mathrm{posted}\:\mathrm{by}\:\:\mathrm{Maclaurin}. \\ $$$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{more}\:\mathrm{sir} \\ $$ Commented by mr W…
Question Number 77536 by ~blr237~ last updated on 07/Jan/20 $$\mathrm{find}\:\mathrm{all}\:\mathrm{function}\:\mathrm{that}\:\mathrm{satisfy} \\ $$$$\:\:\forall\:\mathrm{p}>\mathrm{0}\:\:\:\int_{\mathrm{0}} ^{\infty} \mathrm{f}\left(\mathrm{t}\right)\mathrm{e}^{−\mathrm{pt}} \mathrm{dt}=\:\mathrm{e}^{−\mathrm{pT}} \:\:\:\:\:\:\mathrm{with}\:\mathrm{T}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{real} \\ $$ Answered by JDamian last updated on 07/Jan/20…
Question Number 77537 by john santu last updated on 07/Jan/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{solution}\: \\ $$$$\mathrm{xy}'+\left(\mathrm{1}+\mathrm{xcot}\:\mathrm{x}\right)\mathrm{y}=\mathrm{x}\:? \\ $$ Answered by mr W last updated on 07/Jan/20 $${y}'+\left(\frac{\mathrm{1}}{{x}}+\frac{\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}}\right){y}=\mathrm{1} \\…