Question Number 68970 by Peculiar last updated on 17/Sep/19 $$\int\frac{\mathrm{3}{t}^{\mathrm{2}} }{\left(\mathrm{1}+{t}\right)^{\mathrm{15}} }\:{dt} \\ $$ Answered by Kunal12588 last updated on 17/Sep/19 $$\mathrm{1}+{t}={u} \\ $$$$\Rightarrow{t}={u}−\mathrm{1} \\…
Question Number 68967 by aliesam last updated on 17/Sep/19 Answered by mind is power last updated on 17/Sep/19 $${tg}\left(\frac{{x}}{\mathrm{2}}\right)={t} \\ $$$${dx}=\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\ $$$$\Rightarrow{sin}\left({x}\right)=\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:{cos}\left({x}\right)=\frac{\mathrm{1}−{t}^{\mathrm{2}}…
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Question Number 134474 by rs4089 last updated on 04/Mar/21 $${Evaluate}\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{{sinx}}{{x}^{{a}} }{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 04/Mar/21 $$\int_{\mathrm{0}} ^{\infty}…
Question Number 134456 by bramlexs22 last updated on 03/Mar/21 $$\underset{−\infty} {\int}^{\:\:\:\:\infty} \frac{\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}}{\mathrm{x}^{\mathrm{3}} }\:\mathrm{dx}\:? \\ $$ Commented by EDWIN88 last updated on 04/Mar/21 $$=\:\frac{\mathrm{3}\pi}{\mathrm{4}} \\…
Question Number 134454 by mnjuly1970 last updated on 03/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:\:\:{find}\:{the}\:{value}\:{of}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\zeta\left(\mathrm{2}{n}\right)−\mathrm{1}}{{n}+\mathrm{1}}=? \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 134420 by liberty last updated on 03/Mar/21 $$\underset{−\pi/\mathrm{2}} {\int}^{\:\:\:\:\:\:\pi/\mathrm{2}} \frac{\mathrm{1}}{\mathrm{2019}^{{x}} +\mathrm{1}}.\:\frac{\mathrm{sin}\:^{\mathrm{2020}} {x}}{\mathrm{sin}\:^{\mathrm{2020}} {x}+\mathrm{cos}\:^{\mathrm{2020}} {x}}\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 68878 by mathmax by abdo last updated on 16/Sep/19 $${find}\:\int\frac{\mathrm{2}\sqrt{{x}}+\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}−\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 134418 by mnjuly1970 last updated on 03/Mar/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \left({arctan}\left(\frac{\mathrm{1}}{{x}}\right)\right)^{\mathrm{2}} =??? \\ $$ Answered by Ñï= last updated on 03/Mar/21 $$\int\left(\mathrm{tan}^{−\mathrm{1}}…
Question Number 68876 by mathmax by abdo last updated on 16/Sep/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{x}} }{\left(\mathrm{3}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last…