Question Number 61801 by aliesam last updated on 08/Jun/19 $$\underset{\mathrm{2}\pi} {\overset{\mathrm{4}\pi} {\int}}\sqrt{\mathrm{1}−{cos}\left({x}\right)}\:{dx} \\ $$ Commented by MJS last updated on 08/Jun/19 $$\sqrt{\mathrm{1}−\mathrm{cos}\:{x}}=\sqrt{\mathrm{2}}\mathrm{sin}\:\frac{{x}}{\mathrm{2}} \\ $$$$\mathrm{now}\:\mathrm{it}'\mathrm{s}\:\mathrm{easy} \\…
Question Number 61785 by aliesam last updated on 08/Jun/19 $$\underset{\mathrm{0}} {\overset{\sqrt{\mathrm{3}−{x}^{\mathrm{2}} }} {\int}}\frac{{xy}\left(\mathrm{4}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)\sqrt{\mathrm{4}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }−{xy}}{\mathrm{3}}\:{dy} \\ $$ Answered by MJS last updated on…
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Question Number 61749 by maxmathsup by imad last updated on 08/Jun/19 $${find}\:\int\:\:\frac{{dx}}{{cos}\left(\mathrm{2}{x}\right)+{tan}\left({x}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61750 by maxmathsup by imad last updated on 08/Jun/19 $$\:{find}\:\int\:\:\frac{{x}^{\mathrm{2}} −\sqrt{{x}−\mathrm{1}}}{\mathrm{2}\sqrt{{x}^{\mathrm{2}} +\mathrm{3}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61748 by maxmathsup by imad last updated on 08/Jun/19 $${find}\:\:\int\:\:\:\:\frac{{dx}}{{sin}\left(\mathrm{2}{x}\right)+{tan}\left({x}\right)}{dx} \\ $$ Commented by Prithwish sen last updated on 08/Jun/19 $$\int\frac{\mathrm{dx}}{\frac{\mathrm{2tanx}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \mathrm{x}}\:+\:\mathrm{tanx}} \\…
Question Number 61735 by aliesam last updated on 07/Jun/19 $$\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}\left(\frac{{sin}\left({x}\right)}{{sinh}^{−\mathrm{1}} \left({x}\right)}\right)\left(\frac{{sin}^{−\mathrm{1}} \left({x}\right)}{{sinh}\left({x}\right)}\right)\:{dx}\:=?\: \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61721 by Mr X pcx last updated on 07/Jun/19 $${calculate}\:{A}\:=\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{{n}} \right){dx} \\ $$$${and}\:{B}\:=\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}^{{n}} \right){dx}\:\:{with} \\ $$$${n}\geqslant\mathrm{2}\:\:\left({n}\:{integr}\:{natural}\right) \\ $$ Terms…
Question Number 61719 by aliesam last updated on 06/Jun/19 $$\int\frac{{dx}}{\mathrm{2}+{sin}\left({x}\right)} \\ $$ Commented by maxmathsup by imad last updated on 07/Jun/19 $${let}\:{A}\:=\:\int\:\:\frac{{dx}}{\mathrm{2}+{sinx}}\:\Rightarrow{A}\:=_{{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}} \:\:\:\int\:\:\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }}\:\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}} }…
Question Number 127236 by Bird last updated on 28/Dec/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{lnx}}{\left({x}^{\mathrm{2}} \:−{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by mindispower last updated on 28/Dec/20 $$=\int_{\mathrm{0}} ^{\infty}…