Question Number 136445 by aupo14 last updated on 22/Mar/21 Answered by liberty last updated on 22/Mar/21 $${let}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\:{x}} \:\frac{{t}−\mathrm{3}}{{t}^{\mathrm{2}} +\mathrm{7}}\:{dt}\: \\ $$$${f}\:'\left({x}\right)=\:\frac{{x}−\mathrm{3}}{{x}^{\mathrm{2}} +\mathrm{7}}\:=\:\mathrm{0}\Rightarrow{x}=\mathrm{3} \\ $$$${f}\:''\left({x}\right)\mid_{{x}=\mathrm{3}}…
Question Number 136440 by liberty last updated on 22/Mar/21 $$\:\int\:\frac{{dx}}{\mathrm{sin}\:^{\mathrm{6}} {x}}\:? \\ $$ Answered by rs4089 last updated on 22/Mar/21 $$\int{cosec}^{\mathrm{6}} {x}.{dx} \\ $$$$\int\left(\mathrm{1}+{cot}^{\mathrm{2}} {x}\right)^{\mathrm{2}}…
Question Number 70909 by rajesh4661kumar@gmail.com last updated on 09/Oct/19 Commented by rajesh4661kumar@gmail.com last updated on 10/Oct/19 $$\mathrm{28} \\ $$ Commented by Abdo msup. last updated…
Question Number 5364 by sanusihammed last updated on 11/May/16 $${Find}\:{the}\:{integral}\:{solution}\:{of}\:\:\:\:\:\:{x}^{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136425 by Ar Brandon last updated on 21/Mar/21 $$\mathrm{If}\:\alpha>\mathrm{0}\:\mathrm{and}\:\beta>\mathrm{0},\:\mathrm{prove} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\alpha\mathrm{x}\right)}{\beta^{\mathrm{2}} +\mathrm{x}^{\mathrm{2}} }\mathrm{dx}=\frac{\pi}{\mathrm{2}\beta}\mathrm{ln}\left(\alpha\beta\right) \\ $$ Commented by Dwaipayan Shikari last updated…
Question Number 70872 by Abdo msup. last updated on 09/Oct/19 $${calculate}\:\int\int_{\left[\mathrm{1},\mathrm{3}\right]^{\mathrm{2}} } \:\:\:{e}^{−{x}−{y}} \:{ln}\left(\mathrm{2}{x}+{y}\right){dxdy} \\ $$ Commented by Abdo msup. last updated on 11/Oct/19 $${let}\:{I}=\int\int_{\left[\mathrm{1},\mathrm{3}\right]^{\mathrm{2}}…
Question Number 70873 by Abdo msup. last updated on 09/Oct/19 $${calculate}\:\int\int_{\left[\mathrm{1},\mathrm{3}\right]^{\mathrm{2}} } \:\:\:{e}^{−{x}−{y}} \:{ln}\left(\mathrm{2}{x}+{y}\right){dxdy} \\ $$ Answered by mind is power last updated on 09/Oct/19…
Question Number 70870 by Abdo msup. last updated on 09/Oct/19 $${let}\:{f}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\:\frac{{dt}}{\left({t}^{\mathrm{2}} −\mathrm{2}{t}\:+{x}^{\mathrm{2}} \right)^{\mathrm{4}} }\:\:{with}\:\:\mid{x}\mid>\mathrm{1} \\ $$$${and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right){find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{also}\:{g}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\:\frac{{dt}}{\left({t}^{\mathrm{2}} −\mathrm{2}{t}\:+{x}^{\mathrm{2}}…
Question Number 136405 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{3}} −\mathrm{3x}+\mathrm{2}\:\:\mathrm{determine}\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)\:\mathrm{and}\:\int\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{nf}\left(\mathrm{x}\right)\right)\mathrm{dx}\:\:\mathrm{with} \\ $$$$\mathrm{n}\:\mathrm{integr} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 70871 by Abdo msup. last updated on 09/Oct/19 $$\:{calculate}\:{f}\left({x}\right)=\int_{−\infty} ^{+\infty} \:\frac{{cos}\left({x}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:{with}\:{x}\geqslant\mathrm{0} \\ $$ Commented by mathmax by abdo last updated on…