Category: Algebra

Question Number 155207 by mathdanisur last updated on 26/Sep/21 $$\mathbf{\Omega }=\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\frac{\ln \left(\mathrm{x}\right)}{{\mathrm{e}}^{\mathbf{x}}+{\mathrm{e}}^{-\mathbf{x}}}\mathrm{dx}=?$$ Answered by mindispower last updated on 27/Sep/21 $$\Omega={f}'\left(\mathrm{0}\right),{f}'\left({a}\right)=\int_{\mathrm{0}} ^{\infty}…

Question Number 155189 by qaz last updated on 27/Sep/21 $$\mathrm{How}\mathrm{to}\mathrm{extract}\mathrm{the}\mathrm{coefficient}\mathrm{of}\mathrm{term}“{\mathrm{x}}^{\mathrm{n}}{\mathrm{y}}^{\mathrm{m}}{}^{″}\mathrm{in}(1+\frac{\mathrm{yx}}{1-\mathrm{x}}){(1-\frac{\mathrm{yx}}{1-\mathrm{x}})}^{-1}?$$ Answered by mr W last updated on 26/Sep/21 $$=\frac{\mathrm{1}−{x}+{xy}}{\mathrm{1}−{x}\left(\mathrm{1}+{y}\right)} \…

Question Number 155180 by mathdanisur last updated on 26/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 155183 by mathdanisur last updated on 26/Sep/21 Answered by aleks041103 last updated on 26/Sep/21 $$\mathrm{1}−{tan}^{\mathrm{2}} \frac{{x}}{\mathrm{2}^{{k}} }=\frac{{cos}^{\mathrm{2}} \frac{{x}}{\mathrm{2}^{{k}} }−{sin}^{\mathrm{2}} \frac{{x}}{\mathrm{2}^{{k}} }}{{cos}^{\mathrm{2}} \frac{{x}}{\mathrm{2}^{{k}} }}=\frac{{cos}\frac{{x}}{\mathrm{2}^{{k}−\mathrm{1}}…

Question Number 155154 by mathdanisur last updated on 26/Sep/21 $$\mathrm{let}\mathrm{n}\in {\mathbb{N}}^{+}\mathrm{solve}\mathrm{for}\mathrm{real}\mathrm{numbers}:$$$${\mathrm{x}}^{3\mathbf{n}}-{\mathrm{y}}^{2\mathbf{n}}={\mathrm{y}}^{3\mathbf{n}}-{\mathrm{x}}^{2\mathbf{n}}=4$$ Answered by MJS_new last updated on…