Question Number 106807 by Study last updated on 07/Aug/20 $$\int{sin}\left({ln}\mathrm{3}{x}\right){dx}=??? \\ $$ Answered by bemath last updated on 08/Aug/20 $$\:\:\:\:\:\:\:\:@\mathrm{bemath}@ \\ $$$$\mathrm{ln}\:\mathrm{3x}=\mathrm{u}\:\Rightarrow\mathrm{3x}=\mathrm{e}^{\mathrm{u}} \:;\:\mathrm{dx}\:=\:\frac{\mathrm{e}^{\mathrm{u}} \:\mathrm{du}}{\mathrm{3}} \\…
Question Number 41248 by Tawa1 last updated on 04/Aug/18 Commented by prof Abdo imad last updated on 04/Aug/18 $${changement}\:{x}=\sqrt{\mathrm{2}}{tant}\:\Rightarrow \\ $$$${I}\:=\:\int\:\:\frac{\sqrt{\mathrm{2}}\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right){dt}}{\mathrm{8}\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right)^{\mathrm{3}} }\:=\frac{\sqrt{\mathrm{2}}}{\mathrm{8}}\:\int\:\:\:\frac{{dt}}{\left(\mathrm{1}+{tan}^{\mathrm{2}} {t}\right)^{\mathrm{2}}…
Question Number 41246 by Raj Singh last updated on 04/Aug/18 Commented by prof Abdo imad last updated on 04/Aug/18 $${let}\:{A}\:=\:\int\:\:\:\:\frac{{sin}\left({lnx}\right)}{{x}^{\mathrm{3}} }{dx}\:{changement}\:{ln}\left({x}\right)={t} \\ $$$${give}\:{A}\:=\int\:\:\frac{{sin}\left({t}\right)}{{e}^{\mathrm{3}{t}} }\:{e}^{{t}} {dt}=\:\int\:\:{e}^{−\mathrm{2}{t}}…
Question Number 106782 by thearith last updated on 07/Aug/20 $$\int\mathrm{2}{xdx} \\ $$ Answered by john santu last updated on 07/Aug/20 $$=\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{K} \\ $$ Terms…
Question Number 106744 by mohammad17 last updated on 06/Aug/20 $$\int\:{x}^{{x}^{{x}^{{x}} } } {dx} \\ $$ Commented by Her_Majesty last updated on 06/Aug/20 $${it}'{s}\:{impossible}\:{to}\:{solve}\:\int{x}^{{x}} {dx}\:{to}\:{a}\:{closed} \\…
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Question Number 106709 by bemath last updated on 06/Aug/20 $$ \\ $$$$\:\int\:\frac{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx}}{\mathrm{1}−\mathrm{sin}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{x}}\:? \\ $$ Answered by john santu last updated on 06/Aug/20 $$\:\:\:\:\overset{@\mathrm{JS}@} {\:}…
Question Number 106705 by bemath last updated on 06/Aug/20 $$\:\:\:\:\:\:\:@\mathrm{bemath}@ \\ $$$$\:\:\:\:\:\int\:\frac{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{9}−\mathrm{4x}^{\mathrm{2}} }}\:\mathrm{dx}\: \\ $$ Answered by mathmax by abdo last updated on 06/Aug/20…
Question Number 106691 by Laplace last updated on 06/Aug/20 $$\boldsymbol{{determine}}\:\boldsymbol{{using}}\:\:\boldsymbol{{laplce}}\:\boldsymbol{{transformation}}\:\boldsymbol{{this}} \\ $$$$\boldsymbol{{integrale}}\: \\ $$$$\:\:\int_{\mathrm{0}} ^{+\infty} \frac{\boldsymbol{{tsin}}\left(\boldsymbol{{tx}}\right)}{\boldsymbol{{a}}^{\mathrm{2}} +\boldsymbol{{t}}^{\mathrm{2}\:} }\boldsymbol{{dt}} \\ $$ Answered by mathmax by abdo…
Question Number 106683 by Ar Brandon last updated on 06/Aug/20 $$\mathrm{Prove}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\pi} \mathrm{ln}\left(\mathrm{1}−\mathrm{2}\alpha\mathrm{cost}+\alpha^{\mathrm{2}} \right)\mathrm{dt}=\mathrm{2}\pi\mathrm{ln}\alpha \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com