Question Number 96979 by M±th+et+s last updated on 05/Jun/20 $$\int_{\mathrm{0}} ^{\pi} {arctan}\left(\mathrm{3}^{{cos}\left({x}\right)} \right){dx} \\ $$ Answered by MJS last updated on 06/Jun/20 $${y}=\mathrm{arctan}\:\mathrm{3}^{\mathrm{cos}\:{x}} ;\:{x}\in\left[\mathrm{0};\:\pi\right] \\…
Question Number 96962 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{x}+\mathrm{1}}+\sqrt{\mathrm{2x}^{\mathrm{2}} +\mathrm{1}}} \\ $$ Answered by MJS last updated on 06/Jun/20 $$\int\frac{{dx}}{\:\sqrt{{x}+\mathrm{1}}+\sqrt{\mathrm{2}{x}^{\mathrm{2}}…
Question Number 96958 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{let}\:\mathrm{g}\left(\mathrm{x}\right)\:=\mathrm{ln}\left(\mathrm{tanx}\right) \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96959 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{find}\:\int\:\mathrm{arctan}\left(\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx} \\ $$ Answered by MJS last updated on 06/Jun/20 $$\mathrm{by}\:\mathrm{parts} \\ $$$${u}=\mathrm{arctan}\:\left({x}−\frac{\mathrm{1}}{{x}}\right)\:\rightarrow\:{u}'=\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{4}}…
Question Number 96956 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{3}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} }\mathrm{dx} \\ $$ Answered by MJS last updated on…
Question Number 31419 by abdo imad last updated on 08/Mar/18 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{\left(\mathrm{1}+{t}^{\mathrm{2}} \right){arctant}}{\mathrm{1}+{t}^{\mathrm{4}} }{dt}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96957 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{find}\:\int\:\mathrm{x}^{\mathrm{3}} \sqrt{\mathrm{2}−\mathrm{x}−\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by MJS last updated on 06/Jun/20 $$\int{x}^{\mathrm{3}} \sqrt{\mathrm{2}−{x}−{x}^{\mathrm{2}}…
Question Number 31418 by abdo imad last updated on 08/Mar/18 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{arctanx}}{{x}^{\mathrm{2}} \:+{x}+\mathrm{1}}\:{dx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96955 by mathmax by abdo last updated on 05/Jun/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{ln}\left(\mathrm{1}+\mathrm{sinx}\right)\: \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 06/Jun/20…
Question Number 31415 by abdo imad last updated on 08/Mar/18 $${let}\:\mathrm{0}<{x}<\mathrm{1}\:\:{find}\:\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{{x}} {lnt}\:.{ln}\left(\mathrm{1}−{t}\right){dt}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com