Question Number 8816 by javawithstonefish last updated on 29/Oct/16 $${how}\:{can}\:{we}\:{solve} \\ $$$${y}''{f}\left({x}\right)+{y}'{f}_{\mathrm{2}} \left({x}\right)=\mathrm{0} \\ $$$${y}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74350 by mathmax by abdo last updated on 22/Nov/19 $${findf}\left({a}\right)=\:\int_{−\infty} ^{+\infty} \:\frac{{arctan}\left({cosx}\right)}{{x}^{\mathrm{2}} +{a}^{\mathrm{2}} }{dx}\:{witha}>\mathrm{0} \\ $$ Commented by abdomathmax last updated on 23/Nov/19…
Question Number 74351 by mathmax by abdo last updated on 22/Nov/19 $${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{+\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by ~blr237~ last updated on…
Question Number 74348 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({sin}\left({x}^{\mathrm{2}} \right)\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 74349 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left(\mathrm{2}\pi{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by abdomathmax last updated on 23/Nov/19…
Question Number 74346 by mathmax by abdo last updated on 22/Nov/19 $${find}\:\int\:\:\frac{{x}+\sqrt{{x}+\mathrm{1}}}{\mathrm{2}\sqrt{{x}−\mathrm{1}}+\mathrm{3}}{dx} \\ $$ Answered by MJS last updated on 24/Nov/19 $$\int\frac{{x}+\sqrt{{x}+\mathrm{1}}}{\mathrm{3}+\mathrm{2}\sqrt{{x}−\mathrm{1}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{2}\sqrt{{x}−\mathrm{1}}\:\rightarrow\:{dx}=\sqrt{{x}−\mathrm{1}}{dt}\right] \\…
Question Number 8811 by tawakalitu last updated on 29/Oct/16 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74347 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{arctan}\left({cos}\left(\pi{x}^{\mathrm{2}} \right)\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 139883 by qaz last updated on 02/May/21 $$\int_{\mathrm{0}} ^{\pi} \mathrm{sin}\:^{\mathrm{2}{n}} {xdx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 02/May/21 $$\int_{\mathrm{0}} ^{\pi}…
Question Number 74344 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int\:\:\:\:\:\frac{{x}^{\mathrm{2}} −{x}+\mathrm{3}}{{x}^{\mathrm{3}} \left({x}+\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated on…