Question Number 136644 by mnjuly1970 last updated on 24/Mar/21 $$ \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left({x}^{\mathrm{2}} +\mathrm{1}\right)}{{x}^{\mathrm{2}} }{dx} \\ $$$$\:\:\:{f}\left({a}\right)=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{log}\left({ax}^{\mathrm{2}} +\mathrm{1}\right)}{{x}^{\mathrm{2}} }{dx} \\ $$$$\:\:\:\:{f}\:'\left({a}\right)=\int_{\mathrm{0}} ^{\:\mathrm{1}}…
Question Number 136626 by mnjuly1970 last updated on 24/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:……….{nice}\:\:\:\:{calculus}……… \\ $$$$\:\:\:\:{suppose}\:{that}::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\varphi\left({p}\right)=\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\left(\mathrm{1}+{x}\right)}{\left({p}+{x}\right)^{\mathrm{2}} }\:…\checkmark \\ $$$$\:\:\:\:\:\:\:\:\:\:{find}\:{the}\:{value}\:{of}:: \\ $$$$\:\:\:\:\:\:\:\underset{\mathrm{0}} {\int}^{\:\mathrm{1}} \:\frac{\varphi\left({p}\right)}{\mathrm{1}+{p}}{dp}=?… \\ $$$$\:\:\:\:\:\:…
Question Number 71091 by Henri Boucatchou last updated on 11/Oct/19 Commented by Prithwish sen last updated on 11/Oct/19 $$\boldsymbol{\mathrm{It}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{same}}\:\boldsymbol{\mathrm{as}} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\boldsymbol{\mathrm{tan}}^{−\mathrm{1}} \sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{x}}+\mathrm{1}}\:\boldsymbol{\mathrm{dx}}\:−\int_{\mathrm{0}}…
Question Number 5505 by Kasih last updated on 17/May/16 $${if}\:{the}\:{degree}\:{of}\:{the}\:{polynomial}\:{p}\left({x}\right)\:{is}\:{less}\:{than} \\ $$$${the}\:{degree}\:{of}\:{q}\left({x}\right)\:{then}\:{f}\left({x}\right)=\frac{{p}\left({x}\right)}{{q}\left({x}\right)}\:{is}\:{called}\:{a}\:.\:.\:.. \\ $$$${rational}\:{function} \\ $$$$ \\ $$ Commented by Rasheed Soomro last updated on…
Question Number 5506 by Kasih last updated on 17/May/16 $${to}\:{integrate}\:{the}\:{improper}\:{rational}\:{function} \\ $$$${f}\left({x}\right)=\frac{\left({x}^{\mathrm{2}} +\mathrm{4}\right)}{\left({x}+\mathrm{1}\right)}\:{we}\:{first}\:{rewrite}\:{it}\:{as}\:{f}\left({x}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5507 by Kasih last updated on 17/May/16 $${if}\:\left({x}−\mathrm{1}\right)\:\left({x}+\mathrm{1}\right)\:+\mathrm{3}{x}+{x}^{\mathrm{2}} ={ax}^{\mathrm{2}} +{bx}+{c}\:{then}\:{a}=?\:{b}=?\:{c}=? \\ $$ Answered by Rasheed Soomro last updated on 17/May/16 $$\:\left({x}−\mathrm{1}\right)\:\left({x}+\mathrm{1}\right)\:+\mathrm{3}{x}+{x}^{\mathrm{2}} ={ax}^{\mathrm{2}} +{bx}+{c}…
Question Number 136572 by mnjuly1970 last updated on 23/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:….{advanced}\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.\left({tan}\left({x}\right)\right)^{\frac{\mathrm{1}}{\mathrm{2}}} {dx}=?? \\ $$$$ \\ $$ Commented by Olaf last updated on…
Question Number 5487 by love math last updated on 16/May/16 $$\int{sin}\:{x}\:{ln}\:\left({tan}\:{x}\right)\:{dx} \\ $$$$ \\ $$$$\int{x}^{{n}} {ln}\:{x}\:{dx}\:\:\:\:\:\:\:\:\:\left({n}\neq−\mathrm{1}\right) \\ $$$$ \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{2}}}{dx} \\ $$$$ \\…
Question Number 5486 by love math last updated on 16/May/16 $$\int{sin}\:{x}\:{ln}\:\left({tan}\:{x}\right)\:{dx} \\ $$$$ \\ $$$$\int{x}^{{n}} {ln}\:{x}\:{dx}\:\:\:\:\:\:\:\:\:\left({n}\neq−\mathrm{1}\right) \\ $$$$ \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{2}}}{dx} \\ $$$$ \\…
Question Number 71014 by mathmax by abdo last updated on 10/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)} {dx} \\ $$ Terms of Service Privacy Policy Contact:…