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 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 $$\int\frac{{x}+\sqrt{{x}+\mathrm{1}}}{\mathrm{3}+\mathrm{2}\sqrt{{x}−\mathrm{1}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{2}\sqrt{{x}−\mathrm{1}}\:\rightarrow\:{dx}=\sqrt{{x}−\mathrm{1}}{dt}\right] \\…
Question Number 74349 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left(\mathrm{2}\pi{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by abdomathmax last updated on 23/Nov/19…
Question Number 74347 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{arctan}\left({cos}\left(\pi{x}^{\mathrm{2}} \right)\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 74344 by mathmax by abdo last updated on 22/Nov/19 $${calculate}\:\int\:\:\:\:\:\frac{{x}^{\mathrm{2}} −{x}+\mathrm{3}}{{x}^{\mathrm{3}} \left({x}+\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 139883 by qaz last updated on 02/May/21 $$\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 8808 by tawakalitu last updated on 28/Oct/16 $$\int_{\frac{\pi}{\mathrm{12}}\:} ^{\frac{\pi}{\mathrm{4}}} \:\mathrm{cos}^{\mathrm{2}} \mathrm{x}\:\:\mathrm{dx} \\ $$ Commented by ridwan balatif last updated on 29/Oct/16 $$\mathrm{remember}:\: \\…
Question Number 8807 by tawakalitu last updated on 28/Oct/16 $$\int_{\mathrm{2}} ^{\pi} \left(\mathrm{sec}^{\mathrm{2}} \mathrm{x}\:−\:\mathrm{tan}^{\mathrm{2}} \mathrm{x}\right)\:\mathrm{dx} \\ $$ Answered by ridwan balatif last updated on 29/Oct/16 $$\mathrm{remember}:\:\mathrm{tan}^{\mathrm{2}}…
Question Number 8806 by tawakalitu last updated on 28/Oct/16 $$\int_{\frac{\pi}{\mathrm{4}}} ^{\pi} \mathrm{cos2x}\:\mathrm{dx} \\ $$ Commented by ridwan balatif last updated on 29/Oct/16 $$\int_{\frac{\pi}{\mathrm{4}}} ^{\pi} \mathrm{cos2x}\:\mathrm{dx}=\:\frac{\mathrm{1}}{\mathrm{2}}×\left(\mathrm{sin2x}\right)\underset{\frac{\pi}{\mathrm{4}}}…
Question Number 74343 by mathmax by abdo last updated on 22/Nov/19 $${calculatef}\left(\alpha\right)=\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left(\alpha{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{9}}{dx}\:\:\:{with}\:\alpha\:{real}. \\ $$ Commented by mathmax by abdo last updated…