Question Number 65200 by rajesh4661kumar@gmail.com last updated on 26/Jul/19 Answered by ajfour last updated on 26/Jul/19 $${I}=\int\sqrt{\mathrm{tan}\:{x}}{dx} \\ $$$${let}\:\mathrm{tan}\:{x}={t}^{\mathrm{2}} \:\Rightarrow\:{dx}=\frac{\mathrm{2}{tdt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\ $$$$\Rightarrow\:{I}=\int\frac{\mathrm{2}{t}^{\mathrm{2}} {dt}}{\mathrm{1}+{t}^{\mathrm{4}} }…
Question Number 65202 by arcana last updated on 26/Jul/19 $$\int_{\mathrm{0}} ^{\pi} \:\frac{\mathrm{cos}\:\mathrm{2}\theta}{\mathrm{1}−\mathrm{2}{a}\mathrm{cos}\:\theta+{a}^{\mathrm{2}} }{d}\theta,\:{a}^{\mathrm{2}} <\mathrm{1} \\ $$$$\mathrm{answer}? \\ $$ Answered by Tanmay chaudhury last updated on…
Question Number 65196 by mathmax by abdo last updated on 26/Jul/19 $$\:{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\:+\frac{\mathrm{1}}{{lnx}}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65195 by mathmax by abdo last updated on 26/Jul/19 $${find}\:\int_{\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{2}}} \:{ln}\left({ln}\left({tanx}\right){dx}\right. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65194 by mathmax by abdo last updated on 26/Jul/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\Gamma\left({x}\right)\right){dx}\:{with}\:\Gamma\left({x}\right)\:=\int_{\mathrm{0}} ^{\infty} \:{t}^{{x}−\mathrm{1}} \:{e}^{−{t}} \:{dt}\:\:{and}\:{x}>\mathrm{0} \\ $$ Terms of Service Privacy Policy…
Question Number 130725 by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{1}}}\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 130698 by liberty last updated on 28/Jan/21 $$\mathrm{What}\:\mathrm{exact}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{cot}\:\left(\mathrm{1120}°−\mathrm{x}\right) \\ $$$$\mathrm{where}\:\mathrm{csc}\:\mathrm{x}\:=\:\mathrm{3} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65162 by zakaria elghaouti last updated on 25/Jul/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130693 by mnjuly1970 last updated on 28/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:\:{calculus}… \\ $$$$\:\:\:{evaluate}\::: \\ $$$$\:\:\:\:\:\: =\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\right)}{{e}^{{x}} −\mathrm{1}}\:{dx}\:=?? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:……………….. \\ $$ Answered by mnjuly1970…
Question Number 130684 by mathmax by abdo last updated on 28/Jan/21 $$\left.\mathrm{1}\right)\mathrm{calculate}\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)….\left(\mathrm{x}−\mathrm{n}\right)}\:\:\:\left(\:\mathrm{n}\:\mathrm{integr}\:\mathrm{natural}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{n}+\mathrm{1}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)….\left(\mathrm{x}−\mathrm{n}\right)} \\ $$ Terms of Service Privacy Policy Contact:…