Question Number 65691 by mathmax by abdo last updated on 02/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{cos}^{\mathrm{2}} {x}}{{cosx}\:+{sinx}}{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 131227 by mnjuly1970 last updated on 02/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{real}\:\:{analysis}\:… \\ $$$$\:\:\:\:\:\:{prove}:: \\ $$$$\:\:\:\boldsymbol{\Omega}=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\left({ln}\left(\frac{\mathrm{1}}{{x}}\right)\right){ln}^{\mathrm{2}} \left({x}\right){dx}=\mathrm{3}−\mathrm{2}\gamma \\ $$$$ \\ $$ Answered by Dwaipayan Shikari…
Question Number 151 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate}\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\mathrm{sin}\:{x}}{{x}}\mathrm{ln}\:{x}\:{dx} \\ $$ Answered by prakash jain last updated on 13/Dec/14 $$\mathrm{sin}\:{x}={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}!}+\frac{{x}^{\mathrm{5}} }{\mathrm{5}!}−\frac{{x}^{\mathrm{7}}…
Question Number 65687 by arcana last updated on 01/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\frac{{sin}\left(\mathrm{3}{t}\right)}{\mathrm{5}−\mathrm{3}{cos}\left({t}\right)}\:{dt}=\mathrm{0}\:\mathrm{using}\:\:\mathrm{Residue}\:\mathrm{theorem} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149 by rajabhay last updated on 25/Jan/15 $$\mathrm{if}\:\mathrm{tan}\:\mathrm{A}=\sqrt{\mathrm{2}}−\mathrm{1}\:\mathrm{then}\:\mathrm{find} \\ $$$$\frac{\mathrm{tan}\:\mathrm{A}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{A}}\:=\:? \\ $$ Answered by prakash jain last updated on 12/Dec/14 $$\mathrm{tan}^{\mathrm{2}} \mathrm{A}=\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)^{\mathrm{2}}…
Question Number 147 by novrya last updated on 25/Jan/15 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\sqrt{\mathrm{9}−{y}^{\mathrm{2}} \:}\:{dydx}\:=\:…. \\ $$ Answered by vkulkarni last updated on 11/Dec/14 $$\int\sqrt{{a}^{\mathrm{2}}…
Question Number 65683 by KanhAshish last updated on 01/Aug/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65680 by bshahid010@gmail.com last updated on 01/Aug/19 Answered by mr W last updated on 02/Aug/19 Commented by mr W last updated on 02/Aug/19…
Question Number 131218 by shaker last updated on 02/Feb/21 Answered by mathmax by abdo last updated on 02/Feb/21 $$\mathrm{I}\:=\int_{−\mathrm{2}} ^{\mathrm{2}} \:\frac{\sqrt{\mathrm{4}−\mathrm{x}^{\mathrm{2}} }}{\mathrm{4}^{\mathrm{x}} \:+\mathrm{1}}\:\Rightarrow\mathrm{I}\:=_{\mathrm{x}=−\mathrm{t}} \:\:\:\int_{−\mathrm{2}} ^{\mathrm{2}}…
Question Number 65681 by aliesam last updated on 01/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\underset{{r}=\mathrm{1}} {\overset{{n}} {\prod}}\left({x}+{r}\right)\right)\left(\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{\mathrm{1}}{{x}+{k}}\right)\:{dx} \\ $$ Answered by Tanmay chaudhury last updated on…