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Category: Integration

please-integrate-f-x-0-1-1-z-log-z-2-2zcos-x-1-z-1-2-dz-

Question Number 140194 by mnjuly1970 last updated on 05/May/21 $$\:\: \\ $$$$\:\:\:{please}\:\:{integrate}:: \\ $$$$\:\:\:\:\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\:\mathrm{1}} \left\{\frac{\mathrm{1}}{{z}}{log}\left(\frac{{z}^{\mathrm{2}} +\mathrm{2}{zcos}\left({x}\right)+\mathrm{1}}{\left({z}+\mathrm{1}\right)^{\mathrm{2}} }\right)\right\}{dz} \\ $$$$ \\ $$ Answered by Dwaipayan…

Question-9107

Question Number 9107 by jainamanj98@gmail.com last updated on 18/Nov/16 Answered by FilupSmith last updated on 19/Nov/16 $$\left(\mathrm{1}\right) \\ $$$$\int_{\mathrm{1}} ^{\mathrm{3}} \left({x}+\mathrm{3}\sqrt{{x}}\right){dx}=\int_{\mathrm{1}} ^{\mathrm{3}} {xdx}+\mathrm{3}\int_{\mathrm{1}} ^{\mathrm{3}} {x}^{\mathrm{1}/\mathrm{2}}…

1-calculate-f-x-0-1-t-2-x-2-t-2-dt-with-x-gt-0-2-calculste-g-x-0-1-t-2-x-2-t-2-dt-

Question Number 74637 by mathmax by abdo last updated on 28/Nov/19 $$\left.\mathrm{1}\right){calculate}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {t}^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} +{t}^{\mathrm{2}} }{dt}\:\:{with}\:{x}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{calculste}\:{g}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{t}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} +{t}^{\mathrm{2}} }}{dt} \\…

Question-74620

Question Number 74620 by aliesam last updated on 27/Nov/19 Answered by mind is power last updated on 27/Nov/19 $$\mathrm{tchek}\:\mathrm{it}\:\mathrm{sir} \\ $$$$\mathrm{ther}\:\mathrm{is}\:\mathrm{somme} \\ $$$$\mathrm{problems}\:\:\:\:\mathrm{ln}\left(\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}{\mid\mathrm{cos}\left(\mathrm{x}\right)\mid}\right) \\…

Question-74621

Question Number 74621 by aliesam last updated on 27/Nov/19 Commented by mathmax by abdo last updated on 28/Nov/19 $${changement}\:{x}={a}\:{sh}\left({t}\right)\:\Rightarrow\int\sqrt{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:=\int\:{ach}\left({t}\right){a}\:{cht}\:{dt} \\ $$$$={a}^{\mathrm{2}} \:\int\:{ch}^{\mathrm{2}} \left({t}\right){dt}\:=\frac{{a}^{\mathrm{2}}…