Question Number 137001 by Mathspace last updated on 28/Mar/21 $${calculate}\:\:\int_{\mathrm{3}} ^{\infty} \:\frac{{dx}}{\left({x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{5}} \left({x}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136999 by mnjuly1970 last updated on 28/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:……{advanced}\:\:……\:\:\:{calculus}…. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} {ln}\left({x}\right).{sin}\left({x}\right).{e}^{−{x}} {dx}=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\: \\ $$ Answered by mnjuly1970 last…
Question Number 136992 by liberty last updated on 28/Mar/21 $$\ell\:=\:\int\:\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:\mathrm{dx}\:=? \\ $$ Answered by EDWIN88 last updated on 28/Mar/21 $$\:\ell\:=\:\int\:\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:\mathrm{dx} \\ $$$$\mathrm{Simplify}\:\mathrm{the}\:\mathrm{integrand}\:\mathrm{by}\:\mathrm{Euler}'\mathrm{s}\:\mathrm{formula} \\ $$$$\frac{\mathrm{cos}\:\mathrm{7x}−\mathrm{cos}\:\mathrm{8x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{5x}}\:=\:\frac{\mathrm{e}^{\mathrm{i7x}} +\mathrm{e}^{−\mathrm{i7x}}…
Question Number 136968 by Eric002 last updated on 28/Mar/21 $$\left.\mathrm{1}\right)\int\frac{\mathrm{8}}{{x}^{\mathrm{2}} \sqrt{\mathrm{4}−{x}^{\mathrm{2}} }}{dx} \\ $$$$\left.\mathrm{2}\right)\int\frac{{x}−\mathrm{6}\:}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{3}} \\ $$ Answered by EDWIN88 last updated on 28/Mar/21 $$\left(\mathrm{1}\right)\int\:\frac{\mathrm{8}}{\mathrm{x}^{\mathrm{3}}…
Question Number 136969 by liberty last updated on 28/Mar/21 $$\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} \frac{\left(\mathrm{1}+\mathrm{sec}\:^{\mathrm{2}} \mathrm{t}\right)\:\sqrt{\mathrm{sec}\:\mathrm{t}}}{\left(\mathrm{1}+\mathrm{sec}\:\mathrm{t}\right)^{\mathrm{2}} −\mathrm{2}}\:\mathrm{dt}\:=?\: \\ $$ Answered by EDWIN88 last updated on 28/Mar/21 $$\:\mathrm{E}\:=\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}}…
Question Number 136971 by Eric002 last updated on 28/Mar/21 $$\int{csc}^{\mathrm{4}} \left({x}\right)\:{cot}^{\mathrm{2}} \left({x}\right)\:{dx} \\ $$ Answered by Ñï= last updated on 28/Mar/21 $$\int{csc}\:^{\mathrm{4}} {x}\mathrm{cot}\:^{\mathrm{2}} {xdx}=−\int\left(\mathrm{1}+\mathrm{cot}\:^{\mathrm{2}} {x}\right)\mathrm{cot}\:^{\mathrm{2}}…
Question Number 5893 by sanusihammed last updated on 04/Jun/16 $${Evaluate}\:{intdgral}\:\:\:\frac{{xe}^{{x}} }{\left({x}\:+\:\mathrm{1}\right)^{\mathrm{2}} }\:\:{dx}\: \\ $$$$ \\ $$$${please}\:{help}. \\ $$ Commented by FilupSmith last updated on 04/Jun/16…
Question Number 136948 by leena12345 last updated on 28/Mar/21 $$\int\frac{\sqrt{\mathrm{4}+{x}^{\mathrm{2}} }}{{x}}{dx} \\ $$ Answered by Olaf last updated on 28/Mar/21 $$\mathrm{F}\left({x}\right)\:=\:\int\frac{\sqrt{\mathrm{4}+{x}^{\mathrm{2}} }}{{x}}\:{dx} \\ $$$$\mathrm{F}\left({u}\right)\:\overset{{x}=\mathrm{2sh}{u}} {=}\:\:\:\:\int\frac{\sqrt{\mathrm{4}+\mathrm{4sh}^{\mathrm{2}}…
Question Number 5882 by sanusihammed last updated on 03/Jun/16 $$\int{cosh}^{{n}} \left({x}\right)\:{dx} \\ $$$$ \\ $$$${please}\:{help}. \\ $$ Answered by Yozzii last updated on 03/Jun/16 $${cosh}^{{n}}…
Question Number 5878 by gourav~ last updated on 03/Jun/16 $$\int\sqrt{\frac{{a}−{x}}{{a}+{x}}}{dx} \\ $$$${please}\:{help}…….= \\ $$ Answered by Yozzii last updated on 03/Jun/16 $${Let}\:{I}=\int\sqrt{\frac{{a}−{x}}{{a}+{x}}}{dx}. \\ $$$$\frac{{a}−{x}}{{a}+{x}}=\frac{{a}^{\mathrm{2}} −{x}^{\mathrm{2}}…