Question Number 34911 by abdo imad last updated on 12/May/18 $${find}\:\:\:\int_{\mathrm{2}} ^{\mathrm{3}} \:\:\:\:\frac{\mathrm{2}{x}^{\mathrm{2}} \:+\mathrm{3}}{\left({x}−\mathrm{1}\right)^{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)}\:{dx} \\ $$ Commented by math khazana by abdo last…
Question Number 34901 by rishabh last updated on 12/May/18 $$\int_{−\pi/\mathrm{2}} ^{+\pi/\mathrm{2}} \sqrt{\mathrm{cos}^{\mathrm{2}{n}−\mathrm{1}} {x}−\mathrm{cos}^{\mathrm{2}{n}+\mathrm{1}} {x}}{dx} \\ $$$$=\left[−\frac{\mathrm{2cos}^{\frac{\mathrm{2}{n}+\mathrm{1}}{\mathrm{2}}} {x}}{\mathrm{2}{n}+\mathrm{1}}\right]_{−\pi/\mathrm{2}} ^{+\pi/\mathrm{2}} =\mathrm{0}? \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{mistake}\:\mathrm{in}\:\mathrm{above}? \\ $$$$\int_{−\pi/\mathrm{2}} ^{+\pi/\mathrm{2}} \sqrt{\mathrm{cos}^{\mathrm{2}{n}−\mathrm{1}}…
Question Number 100438 by Dara last updated on 26/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{{x}} {x}^{\mathrm{2}} {y}^{{xy}} {dydx} \\ $$ Commented by Ar Brandon last updated on…
Question Number 165955 by cortano1 last updated on 10/Feb/22 $$\:\:\:\:\mathrm{C}\:=\:\int_{\mathrm{0}} ^{\:\pi} \frac{\mathrm{dx}}{\mathrm{2}+\mathrm{cos}\:\mathrm{2x}}\:=? \\ $$ Answered by MJS_new last updated on 10/Feb/22 $$\underset{\mathrm{0}} {\overset{\pi} {\int}}\frac{{dx}}{\mathrm{2}+\mathrm{cos}\:\mathrm{2}{x}}=\mathrm{2}\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}}…
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Question Number 34866 by a.i msup by abdo last updated on 12/May/18 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({x}\left({t}\:+\frac{\mathrm{1}}{{t}}\right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34862 by a.i msup by abdo last updated on 12/May/18 $${find}\:{the}\:{value}\:{of} \\ $$$${f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{cosx}}{\mathrm{1}+\mathrm{2}{sin}\left(\mathrm{2}{x}\right)}{dx} \\ $$ Commented by prof Abdo imad last…
Question Number 100368 by bemath last updated on 26/Jun/20 $$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\int_{−\infty} ^{\infty} \mathrm{cos}\:\left({x}^{{n}} \right)\:{dx}\:=? \\ $$$${where}\:{n}=\mathrm{2}{k},\:{k}\in\mathbb{N},\:{k}\neq\mathrm{0} \\ $$ Answered by mathmax by abdo last updated…
Question Number 34827 by Cheyboy last updated on 11/May/18 $$\boldsymbol{{Find}}\:\int\:\boldsymbol{{Sin}}^{\mathrm{6}} \boldsymbol{{x}}\:\boldsymbol{{dx}} \\ $$$$ \\ $$ Commented by rahul 19 last updated on 11/May/18 $${sir}\:{how}\:\:\:\mathrm{sin}\:^{\mathrm{6}} {xdx}=\:\left(\frac{{e}^{{ix}}…
Question Number 100362 by Dara last updated on 26/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} {e}^{\mathrm{2}{x}+{y}} {dydx} \\ $$ Answered by smridha last updated on 26/Jun/20 $$\int_{\mathrm{0}}…