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Question-134719

Question Number 134719 by 0731619177 last updated on 06/Mar/21 Commented by Dwaipayan Shikari last updated on 06/Mar/21 $$\pi^{\frac{\mathrm{3}}{\mathrm{2}}} −\frac{\mathrm{3}\pi}{\mathrm{2}}.\frac{\Gamma\left(\frac{\mathrm{5}}{\mathrm{3}}\right)}{\Gamma\left(\frac{\mathrm{7}}{\mathrm{6}}\right)} \\ $$ Answered by CutieJanab last…

Question-134676

Question Number 134676 by mohammad17 last updated on 06/Mar/21 Answered by benjo_mathlover last updated on 06/Mar/21 $$\left(\mathrm{2}\right)\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\:\mathrm{e}^{\mathrm{xy}} \:+\mathrm{3ln}\:\left(\mathrm{xy}\right)+\mathrm{cos}\:\left(\mathrm{xy}\right)\:\right]=\:\mathrm{1} \\ $$$$\Rightarrow\left(\mathrm{y}+\mathrm{xy}'\right)\mathrm{e}^{\mathrm{xy}} +\mathrm{3}\left(\frac{\mathrm{y}+\mathrm{xy}'}{\mathrm{xy}}\right)−\left(\mathrm{y}+\mathrm{xy}'\right)\mathrm{sin}\:\left(\mathrm{xy}\right)=\mathrm{1} \\ $$$$ \\ $$…

Question-134651

Question Number 134651 by 0731619177 last updated on 06/Mar/21 Answered by Ar Brandon last updated on 06/Mar/21 $$\mathrm{sinx}=\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{n}} \frac{\mathrm{x}^{\mathrm{2n}+\mathrm{1}} }{\left(\mathrm{2n}+\mathrm{1}\right)!}\:\Rightarrow\mathrm{sin}\pi\mathrm{x}=\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{n}} \frac{\left(\pi\mathrm{x}\right)^{\mathrm{2n}+\mathrm{1}}…

x-2-x-x-2-x-dx-

Question Number 134647 by SOMEDAVONG last updated on 06/Mar/21 $$\int\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\mathrm{dx}=?? \\ $$ Answered by benjo_mathlover last updated on 06/Mar/21 $$\mathrm{I}=\int\:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}\right)^{\mathrm{3}/\mathrm{2}} \:\mathrm{dx} \\…