Question Number 34561 by math khazana by abdo last updated on 08/May/18 $${find}\:{the}\:{value}\:\:{of}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{arctan}\left({x}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx} \\ $$ Commented by math khazana by abdo…
Question Number 34562 by math khazana by abdo last updated on 08/May/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctanx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx} \\ $$ Commented by math khazana by abdo…
Question Number 100089 by mathmax by abdo last updated on 24/Jun/20 $$\:\mathrm{calculate}\:\mathrm{A}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{sin}^{\mathrm{n}} \left(\mathrm{x}\right)}{\mathrm{sin}\left(\mathrm{nx}\right)}\mathrm{dx}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 100088 by mathmax by abdo last updated on 24/Jun/20 $$\mathrm{calculate}\:\int\:\frac{\mathrm{cosx}}{\mathrm{cos}\left(\mathrm{3x}\right)}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 24/Jun/20 $$−\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{3}}}{log}\left(\frac{\sqrt{\mathrm{3}}{sin}\theta−{cos}\theta}{\:\sqrt{\mathrm{3}}{sin}\theta+{cos}\theta}\right)+{Constant} \\ $$…
Question Number 165615 by cortano1 last updated on 05/Feb/22 $$\:\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{{dx}}{\:\sqrt{{x}}\:\left(\sqrt[{\mathrm{3}}]{{x}}+\sqrt[{\mathrm{4}}]{{x}}\right)}=? \\ $$ Answered by Ar Brandon last updated on 05/Feb/22 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}}{\:\sqrt{{x}}\left(\sqrt[{\mathrm{3}}]{{x}}+\sqrt[{\mathrm{4}}]{{x}}\right)}\:,\:{x}={t}^{\mathrm{12}}…
Question Number 100054 by M±th+et+s last updated on 24/Jun/20 $${I}_{{n},{m}} =\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{\left({ln}\left({x}\right)\right)^{{n}} \left({ln}\left({y}\right)\right)^{{m}} }{\mathrm{1}−{xy}}{dx}\:{dy} \\ $$ Answered by maths mind last updated…
Question Number 100047 by Ar Brandon last updated on 24/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx} \\ $$ Answered by smridha last updated on 24/Jun/20 $$=\frac{\sqrt{\boldsymbol{\pi}}}{\mathrm{2}}{erf}\left(\mathrm{1}\right)…
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Question Number 100026 by Ar Brandon last updated on 24/Jun/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{e}^{−\mathrm{sec}^{\mathrm{2}} \theta} \mathrm{d}\theta \\ $$ Answered by mathmax by abdo last updated on…