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Author: Tinku Tara

What-is-the-solution-set-of-x-2-x-1-1-

Question Number 18031 by tawa tawa last updated on 14/Jul/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\:\:\frac{\mathrm{x}\:+\:\mathrm{2}}{\mathrm{x}\:+\:\mathrm{1}}\:=\:\mathrm{1} \\ $$ Answered by ajfour last updated on 14/Jul/17 $$\mathrm{x}\rightarrow\pm\infty\:,\:\mathrm{No}\:\mathrm{solution}. \\ $$ Commented by…

Question-149100

Question Number 149100 by Naser last updated on 02/Aug/21 Answered by Kamel last updated on 02/Aug/21 $$\mathrm{1}/\:\mathscr{L}\left({J}_{\mathrm{0}} \left({t}\right)\right)=\frac{\mathrm{1}}{\pi}\int_{\mathrm{0}} ^{\pi} \int_{\mathrm{0}} ^{+\infty} {cos}\left({tsin}\left(\theta\right)\right){e}^{−{st}} {dtd}\theta=\frac{\mathrm{1}}{\pi}\int_{\mathrm{0}} ^{\pi} \frac{{sd}\theta}{{sin}^{\mathrm{2}}…

Question-18024

Question Number 18024 by mondodotto@gmail.com last updated on 13/Jul/17 Answered by sma3l2996 last updated on 14/Jul/17 $${I}=\int\frac{\mathrm{5}{x}+\mathrm{3}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{10}}}{dx}=\frac{\mathrm{5}}{\mathrm{2}}\int\frac{\mathrm{2}{x}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{10}}}{dx}+\int\frac{\mathrm{3}{dx}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{10}}} \\ $$$$=\frac{\mathrm{5}}{\mathrm{2}}\int\frac{\mathrm{2}{x}+\mathrm{4}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{10}}}+\int\frac{\mathrm{3}−\mathrm{10}}{\:\sqrt{\left({x}+\mathrm{2}\right)^{\mathrm{2}} +\mathrm{6}}}{dx} \\…