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Author: Tinku Tara

calculate-I-0-pi-2-4-tanx-log-tanx-dx-and-J-0-pi-2-log-tanx-3-tanx-dx-

Question Number 141218 by mathmax by abdo last updated on 16/May/21 $$\mathrm{calculate}\:\:\mathrm{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:^{\mathrm{4}} \sqrt{\mathrm{tanx}}\mathrm{log}\left(\mathrm{tanx}\right)\mathrm{dx}\:\:\mathrm{and} \\ $$$$\mathrm{J}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{log}\left(\mathrm{tanx}\right)}{\left(^{\mathrm{3}} \sqrt{\mathrm{tanx}}\right)}\mathrm{dx} \\ $$ Answered by Ar…

x-Z-x-4-x-2-16-1-x-

Question Number 10143 by konen last updated on 26/Jan/17 $$\mathrm{x}\in\mathrm{Z} \\ $$$$\left(\mathrm{x}+\mathrm{4}\right)^{\mathrm{x}^{\mathrm{2}} −\mathrm{16}} =\mathrm{1}\:\:\:\Rightarrow\Sigma\mathrm{x}=? \\ $$ Answered by mrW1 last updated on 27/Jan/17 $${x}+\mathrm{4}=\mathrm{1}\:\:\:\:\:\:…\left({i}\right) \\…

Question-10142

Question Number 10142 by 0942679167 last updated on 26/Jan/17 Commented by prakash jain last updated on 27/Jan/17 $$\underset{{i}={x}} {\overset{{x}+\mathrm{7}} {\sum}}{i}^{\mathrm{3}} =\underset{{i}=\mathrm{1}} {\overset{{x}+\mathrm{7}} {\sum}}{i}^{\mathrm{3}} −\underset{{i}=\mathrm{1}} {\overset{{x}−\mathrm{1}}…

2-x-y-0-125-0-125-x-y-2-x-y-

Question Number 10138 by konen last updated on 26/Jan/17 $$\mathrm{2}^{\mathrm{x}+\mathrm{y}} =\mathrm{0}.\mathrm{125} \\ $$$$\left(\mathrm{0}.\mathrm{125}\right)^{\mathrm{x}−\mathrm{y}} =\mathrm{2}\:\Rightarrow\:\mathrm{x}×\mathrm{y}=? \\ $$ Answered by sandy_suhendra last updated on 26/Jan/17 $$\mathrm{2}^{\mathrm{x}+\mathrm{y}} =\frac{\mathrm{1}}{\mathrm{8}}…