Question Number 211184 by nothing48 last updated on 30/Aug/24 Answered by mm1342 last updated on 30/Aug/24 $${x}={sinu} \\ $$$$\Rightarrow\int{sin}^{\mathrm{3}} {udu}=\int\left(\mathrm{1}−{cos}^{\mathrm{2}} {u}\right){sinudu} \\ $$$$=−{cosu}+\frac{\mathrm{1}}{\mathrm{3}}{cos}^{\mathrm{3}} {u}+{c} \\…
Question Number 211152 by Spillover last updated on 29/Aug/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{\sqrt{{x}}}{\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} }{dx} \\ $$$$ \\ $$ Answered by Ghisom last updated…
Question Number 211149 by legei last updated on 29/Aug/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 211151 by Spillover last updated on 29/Aug/24 $$ \\ $$$$ \\ $$$$\int\frac{{dx}}{{x}\mathrm{ln}\:{x}\left(\mathrm{ln}\:\mathrm{ln}\:{x}−\mathrm{1}\right)\left(\mathrm{ln}\:\mathrm{ln}\:{x}−\mathrm{2}\right)\left(\mathrm{ln}\:\mathrm{ln}\:{x}−\mathrm{3}\right)\left(\mathrm{ln}\:\mathrm{ln}\:{x}−\mathrm{4}\right)} \\ $$$$ \\ $$$$ \\ $$ Answered by Ghisom last updated…
Question Number 211150 by Spillover last updated on 29/Aug/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \left(\mathrm{tan}\:^{\mathrm{2}} \theta+\mathrm{tan}\:^{\mathrm{5}} \theta\right){e}^{\mathrm{tan}\:^{\mathrm{2}} \theta} {d}\theta \\ $$$$ \\ $$$$ \\ $$ Commented…
Question Number 211006 by universe last updated on 26/Aug/24 Answered by mr W last updated on 26/Aug/24 $$=\mathrm{0}\:{because}\:{of}\:{odd}\:{function}\:{zy}^{\mathrm{2}} \\ $$ Commented by mr W last…
Question Number 211008 by mnjuly1970 last updated on 26/Aug/24 Commented by Frix last updated on 26/Aug/24 $${y}=\alpha{x}+{p}? \\ $$ Commented by mnjuly1970 last updated on…
Question Number 210969 by universe last updated on 24/Aug/24 $$\:\:\:\:\mathrm{if}\:\mathrm{a}_{\mathrm{n}} \:=\:\mathrm{n}^{\mathrm{4}} \int_{\mathrm{n}} ^{\mathrm{n}+\mathrm{1}} \:\frac{\mathrm{x}\:\mathrm{dx}}{\mathrm{1}+\mathrm{x}^{\mathrm{5}} }\:\:\mathrm{then} \\ $$$$\:\:\:\:\left(\mathrm{1}\right)\:\Sigma\mathrm{a}_{\mathrm{n}} \:\mathrm{is}\:\mathrm{convergent}\:\mathrm{or}\:\mathrm{divergent}?? \\ $$$$\:\:\:\:\left(\mathrm{2}\right)\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{a}_{\mathrm{n}\:} \:=\:?? \\ $$ Terms…
Question Number 210933 by mnjuly1970 last updated on 22/Aug/24 $$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\mathrm{I}=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}\:} \frac{\:{sin}\left(\:\mathrm{25}{x}\:\right)}{{sinx}}\:{dx}=? \\ $$$$ \\ $$$$ \\…