Question Number 133369 by mnjuly1970 last updated on 21/Feb/21 $$\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{calculus}\:\left(\mathrm{2}\right)….. \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{1}} ^{\:\mathrm{2}} \left(\frac{{ln}\left(\frac{{x}+\mathrm{2}}{{x}+\mathrm{1}}\right)}{{x}}\right){dx}\:=??? \\ $$$$ \\ $$ Commented by Dwaipayan Shikari last…
Question Number 67835 by mind is power last updated on 01/Sep/19 $$\int_{\mathrm{0}} ^{\mathrm{2}} {x}\left(\mathrm{8}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx} \\ $$ Answered by MJS last updated on 01/Sep/19…
Question Number 133360 by liberty last updated on 21/Feb/21 $$\int\:\sqrt{\mathrm{1}+\mathrm{sec}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Commented by som(math1967) last updated on 21/Feb/21 $$\int\sqrt{\frac{\mathrm{1}+{cosx}}{{cosx}}}{dx} \\ $$$$\sqrt{\mathrm{2}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}}{dx} \\ $$$$=\frac{\sqrt{\mathrm{2}}}{\:\sqrt{\mathrm{2}}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{2}}…
Question Number 67823 by mhmd last updated on 31/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{lnx}+{e}^{{lnx}/{x}} } {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 2284 by Yozzi last updated on 13/Nov/15 $${Define}\:{a}\:{curve}\:{E}\:{by}\:{the}\:{parametric} \\ $$$${equations} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\left({t}\right)=\int_{{g}_{\mathrm{1}} \left({t}\right)} ^{{h}_{\mathrm{1}} \left({t}\right)} {f}_{\mathrm{1}} \left({u}\right){du} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\left({t}\right)=\int_{{g}_{\mathrm{2}} \left({t}\right)} ^{{h}_{\mathrm{2}} \left({t}\right)} {f}_{\mathrm{2}}…
Question Number 67799 by mathmax by abdo last updated on 31/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:−{e}^{{ia}} \right)\left({x}^{\mathrm{2}} −{e}^{{ib}} \right)}\:\:{with}\:{a}>\mathrm{0}\:{andb}>\mathrm{0} \\ $$ Commented by MJS last updated…
Question Number 2241 by Yozzi last updated on 10/Nov/15 $${Evaluate} \\ $$$$\:\:\:\:\:\:\:\:\frac{\mathrm{9}}{\mathrm{2}}\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \left(\frac{{sin}\theta{cos}\theta}{{cos}^{\mathrm{3}} \theta+{sin}^{\mathrm{3}} \theta}\right)^{\mathrm{2}} {d}\theta. \\ $$ Answered by Filup last updated on…
Question Number 133305 by liberty last updated on 21/Feb/21 $$\int_{\mathrm{0}} ^{\:\mathrm{2}\pi} \:\frac{\mathrm{dx}}{\mathrm{5}+\mathrm{3sin}\:\mathrm{2x}}\:=? \\ $$ Answered by physicstutes last updated on 21/Feb/21 $$\mathrm{set}\:{t}\:=\:\mathrm{tan}\:{x} \\ $$$$\Rightarrow\:\mathrm{sin}\:\mathrm{2}{x}\:=\:\mathrm{2}\:\mathrm{sin}\:{x}\:\mathrm{cos}\:{x}\:=\:\frac{\mathrm{2}\:\mathrm{tan}\:{x}}{\mathrm{1}+\:\mathrm{tan}^{\mathrm{2}} {x}}\:\:=\:\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 2212 by Yozzi last updated on 09/Nov/15 $$\int\frac{{dt}}{\left(\mathrm{1}−{kt}\right)\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }}=?\:\:\mathrm{0}<{k}<\mathrm{1} \\ $$ Commented by 123456 last updated on 09/Nov/15 $$\frac{\mathrm{ln}\:\left(\sqrt{{k}^{\mathrm{2}} −\mathrm{1}}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }+{k}−{x}\right)−\mathrm{ln}\:\left(\mathrm{1}−{kx}\right)}{\:\sqrt{{k}^{\mathrm{2}} −\mathrm{1}}} \\…
Question Number 133291 by liberty last updated on 21/Feb/21 $$\:\int\:\frac{\left(\mathrm{x}^{\mathrm{4}} \right)^{\mathrm{2}} }{\left(\mathrm{1}+\mathrm{x}^{\mathrm{6}} \right)^{\mathrm{2}} }\:\mathrm{dx}\:=? \\ $$ Answered by EDWIN88 last updated on 21/Feb/21 $$\mathrm{integration}\:\mathrm{by}\:\mathrm{parts} \\…