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0-1-2x-2-cos-y-2-dydx-

Question Number 202867 by esmaeil last updated on 04/Jan/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{2}{x}} ^{\mathrm{2}} {cos}\left({y}^{\mathrm{2}} \right){dydx} \\ $$ Answered by MathematicalUser2357 last updated on 06/Jan/24 $$\frac{\mathrm{sin}\:\mathrm{229}.\mathrm{1831}°}{\mathrm{4}}\approx−\mathrm{0}.\mathrm{1892}…

x-1-x-625-solve-for-x-

Question Number 202813 by pascal889 last updated on 03/Jan/24 $$\left(\boldsymbol{\mathrm{x}}\:+\:\mathrm{1}\right)^{\boldsymbol{\mathrm{x}}} \:\:=\:\mathrm{625} \\ $$$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{x}} \\ $$$$ \\ $$ Commented by mr W last updated on 03/Jan/24…

place-1-25-in-table-5-5-in-such-away-that-the-sum-is-constant-in-all-directions-direction-

Question Number 202750 by esmaeil last updated on 02/Jan/24 $${place}\left(\mathrm{1}\rightarrow\mathrm{25}\right) \\ $$$${in}\:{table}\left(\mathrm{5}×\mathrm{5}\right){in}\:{such}\:{away}\:{that} \\ $$$${the}\:{sum}\:{is}\:{constant}\:{in}\:{all}\:{directions}. \\ $$$$\left[\:\mid\underset{−} {\overset{−} {×}}\mid\:\right]\rightarrow\left({direction}\right) \\ $$ Commented by esmaeil last updated…

Series-1-h-1-p-h-is-Converge-h-Z-p-h-P-P-2-3-5-7-11-13-

Question Number 202747 by MathedUp last updated on 02/Jan/24 $$\mathrm{Series}\:\:\Sigma\:\frac{\left(−\mathrm{1}\right)^{{h}−\mathrm{1}} }{{p}_{{h}} }\:\mathrm{is}\:\mathrm{Converge}??\:{h}\in\mathbb{Z}^{+} \:,\:{p}_{{h}} \in\mathbb{P}^{+} \\ $$$$\mathbb{P}^{+} =\:\mathrm{2}\:,\:\mathrm{3}\:,\:\mathrm{5}\:,\:\mathrm{7}\:,\:\mathrm{11}\:,\:\mathrm{13}\:,\:….\: \\ $$ Answered by Mathspace last updated on…

0-1-ln-x-ln-1-x-x-1-x-dx-

Question Number 202731 by MrGHK last updated on 02/Jan/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left({x}\right){ln}\left(\mathrm{1}−{x}\right)}{\:{x}\sqrt{\mathrm{1}−{x}}}{dx} \\ $$ Answered by witcher3 last updated on 02/Jan/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{t}^{\mathrm{a}−\mathrm{1}} \left(\mathrm{1}−\mathrm{t}\right)^{\mathrm{b}−\mathrm{1}}…

how-to-use-the-fewest-2-to-make-2024-you-only-can-use-2-and-as-the-following-2-2-2-2-2-2-2-2-2-2-2-2-2-2024-totally-use-thirteen-2-

Question Number 202648 by liuxinnan last updated on 31/Dec/23 $${how}\:{to}\:{use}\:{the}\:{fewest}\:“\mathrm{2}''\:{to}\:{make}\:\mathrm{2024} \\ $$$${you}\:{only}\:{can}\:{use}\:“\mathrm{2}''\:{and}\:−\:+\:×\:/\:\left(\:\right)\:!\:\:\hat {\:}\:… \\ $$$${as}\:{the}\:{following} \\ $$$$\:\:\:\:\:\:\mathrm{2}×\mathrm{2}×\mathrm{2}\left(\left(\mathrm{2}×\mathrm{2}\right)!−\mathrm{2}/\mathrm{2}\right)\left(\mathrm{2}×\left(\mathrm{2}+\mathrm{2}/\mathrm{2}\right)!−\mathrm{2}/\mathrm{2}\right)=\mathrm{2024} \\ $$$${totally}\:{use}\:{thirteen}\:“\:\mathrm{2}'' \\ $$ Commented by Frix last…