Question Number 140028 by mnjuly1970 last updated on 03/May/21 $$\:\:\:{Evaluate}\:::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{P}\::=\underset{{k}=\mathrm{3}} {\overset{\infty} {\prod}}\frac{\left({k}^{\mathrm{3}} +\mathrm{3}{k}\right)^{\mathrm{2}} }{{k}^{\mathrm{6}} −\mathrm{64}}=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…………………….. \\ $$ Terms of Service Privacy…
Question Number 74492 by mathmax by abdo last updated on 24/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{9}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74484 by mathmax by abdo last updated on 24/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\mathrm{2}{x}\right)}{{x}^{\mathrm{2}} +\mathrm{3}}{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 74446 by rajesh4661kumar@gmail.com last updated on 24/Nov/19 Answered by Kunal12588 last updated on 24/Nov/19 $${I}=\int{e}^{{tan}^{−\mathrm{1}} {x}} \left(\frac{\mathrm{1}+{x}+{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx} \\ $$$${let}\:{t}={tan}^{−\mathrm{1}} {x} \\…
Question Number 8914 by tawakalitu last updated on 04/Nov/16 $$\int\:\mid\mathrm{x}\mid\:\mathrm{dx} \\ $$ Commented by 123456 last updated on 05/Nov/16 $${I}=\int\mid{x}\mid{dx} \\ $$$${x}>\mathrm{0} \\ $$$${I}=\int{xdx}=\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+{C}…
Question Number 139932 by Ar Brandon last updated on 02/May/21 $$\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{h}^{\mathrm{2}} }\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{d}\xi\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{f}\left(\mathrm{x}+\xi+\eta\right)\mathrm{d}\eta \\ $$$$\mathrm{Calculate}\:\mathrm{F}''\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 139928 by qaz last updated on 02/May/21 $${prove}::\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} {ln}\left(\frac{\mathrm{5}}{\mathrm{4}}+\mathrm{sin}\:{x}\right){dx}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74394 by aliesam last updated on 23/Nov/19 Commented by mathmax by abdo last updated on 23/Nov/19 $$\left.\mathrm{1}\right)\:{let}\:{decompose}\:{F}\left({x}\right)=\frac{\mathrm{4}{x}^{\mathrm{2}} +{x}}{{x}^{\mathrm{3}} −\mathrm{81}{x}}\:\Rightarrow{F}\left({x}\right)=\frac{\mathrm{4}{x}^{\mathrm{2}} +{x}}{{x}\left({x}−\mathrm{9}\right)\left({x}+\mathrm{9}\right)} \\ $$$$=\frac{\mathrm{4}{x}+\mathrm{1}}{\left({x}−\mathrm{9}\right)\left({x}+\mathrm{9}\right)}\:=\frac{{a}}{{x}−\mathrm{9}}\:+\frac{{b}}{{x}+\mathrm{9}} \\…
Question Number 74395 by mathmax by abdo last updated on 23/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:{e}^{−\mathrm{2}{x}} \left[{e}^{{x}} \right]{dx} \\ $$ Commented by ~blr237~ last updated on 23/Nov/19…
Question Number 8853 by FilupSmith last updated on 01/Nov/16 $$\int_{\mathrm{0}} ^{\:{n}} \left(\left({x}+\mathrm{1}\right)^{\mathrm{1}/{x}} −\mathrm{1}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com