Question Number 150627 by puissant last updated on 14/Aug/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\left(−\mathrm{1}\right)^{{E}\left(\frac{\mathrm{1}}{{x}}\right)} {dx}}{{x}} \\ $$ Answered by puissant last updated on 14/Aug/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\left(−\mathrm{1}\right)^{{E}\left(\frac{\mathrm{1}}{{x}}\right)}…
Question Number 85059 by Power last updated on 18/Mar/20 Answered by MJS last updated on 18/Mar/20 $${x}^{\mathrm{5}} +\mathrm{1}= \\ $$$$=\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\frac{\mathrm{1}−\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}\right) \\ $$$$\mathrm{you}'\mathrm{ll}\:\mathrm{have}\:\mathrm{to}\:\mathrm{decompose}\:\mathrm{and}\:\mathrm{then}\:\mathrm{use} \\…
Question Number 85009 by mathmax by abdo last updated on 18/Mar/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}^{{n}} }{{sh}\left({x}\right)}{dx}\:{with}\:{n}\:{integr}\:{natural} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 150533 by mnjuly1970 last updated on 13/Aug/21 $$\:\:\:\: \\ $$$$\:\:\:\:\mathrm{solve}… \\ $$$$\:\:\mathrm{I}:=\:\int_{−\infty} ^{\:\infty} {e}^{\:{x}−{n}.{sinh}^{\:\mathrm{2}} \left({x}\right)} {dx}\:\overset{??} {=}\sqrt{\frac{\pi}{{n}}} \\ $$$$\:\:\:\:\:\:\:…{m}.{n}… \\ $$ Answered by…
Question Number 19457 by NEC last updated on 11/Aug/17 $${prove}\:{that}\:\int\mathrm{tan}\:^{\mathrm{2}} {xdx} \\ $$$$ \\ $$$$=\mathrm{tan}\:{x}−{x} \\ $$ Answered by Joel577 last updated on 11/Aug/17 $$\int\:\mathrm{tan}^{\mathrm{2}}…
Question Number 84958 by M±th+et£s last updated on 17/Mar/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84957 by john santu last updated on 17/Mar/20 $$\int\:\left(\mathrm{2}−\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{3}} \:\mathrm{dx}\:=\: \\ $$ Commented by john santu last updated on 17/Mar/20 $$\int\:\left(\mathrm{8}−\mathrm{3}\left(\mathrm{4x}^{\mathrm{2}} \right)+\mathrm{3}\left(\mathrm{2x}^{\mathrm{4}}…
Question Number 84956 by M±th+et£s last updated on 17/Mar/20 $${show}\:{that}\: \\ $$$$\int_{\mathrm{0}} ^{+\infty} \frac{\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{2}{x}^{\mathrm{2}} {cos}\left(\frac{\mathrm{2}\pi}{\mathrm{5}}\right)+\mathrm{1}}\:{dx}=\frac{\pi}{\mathrm{2}\phi} \\ $$ Commented by mathmax by abdo last updated…
Question Number 84942 by M±th+et£s last updated on 17/Mar/20 $$\int_{\mathrm{0}} ^{{x}} {sinh}\left({x}−{t}\right)\:{cosh}\left({t}\right)\:{dt} \\ $$ Answered by mind is power last updated on 17/Mar/20 $${sh}\left({x}\right){ch}\left({y}\right)=\frac{\mathrm{1}}{\mathrm{2}}\left\{{sh}\left({x}+{y}\right)+{sh}\left({x}−{y}\right)\right\} \\…
Question Number 84894 by Power last updated on 17/Mar/20 Commented by abdomathmax last updated on 18/Mar/20 $${I}=\int\sqrt{\frac{{ax}+{b}}{{cx}+{d}}}{dx}\:{we}\:{do}\:{the}\:{changement}\sqrt{\frac{{ax}+{b}}{{cx}+{d}}}={t}\:\Rightarrow \\ $$$$\frac{{ax}+{b}}{{cx}+{d}}={t}^{\mathrm{2}} \:\Rightarrow{ax}+{b}={ct}^{\mathrm{2}} {x}\:+{dt}^{\mathrm{2}} \:\Rightarrow\left({a}−{ct}^{\mathrm{2}} \right){x}={dt}^{\mathrm{2}} −{b}\:\Rightarrow \\…