Question Number 2148 by Yozzi last updated on 04/Nov/15 $${Is}\:\mathrm{3}^{\mathrm{2015}} −\mathrm{2}^{\mathrm{2015}} \:{prime}? \\ $$ Answered by sudhanshur last updated on 04/Nov/15 $$\left(\mathrm{3}^{\mathrm{5}} \right)^{\mathrm{403}} −\left(\mathrm{2}^{\mathrm{5}} \right)^{\mathrm{403}}…
Question Number 133218 by SOMEDAVONG last updated on 20/Feb/21 $$\mathrm{I}=−\int\frac{\mathrm{2}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\left(\sqrt{\mathrm{x}^{\mathrm{4}} −\mathrm{1}}\right)}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133213 by mathmax by abdo last updated on 20/Feb/21 $$\mathrm{calculate}\:\mathrm{c}\left(\xi\right)\:=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{cos}\left(\xi\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 133214 by mathmax by abdo last updated on 20/Feb/21 $$\mathrm{calculate}\:\mathrm{f}\left(\xi\right)\:=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{x}\:\mathrm{sin}\left(\xi\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 67674 by Abdo msup. last updated on 30/Aug/19 $${let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +{a}\right)}\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{g}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)\left({x}^{\mathrm{2}} \:+{a}\right)^{\mathrm{2}} } \\…
Question Number 2138 by Filup last updated on 06/Nov/15 $$\mathrm{Is}\:\mathrm{the}\:\mathrm{following}\:\mathrm{proof}\:\mathrm{correct}? \\ $$$$ \\ $$$$\Delta=\underset{{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{i}} \mathrm{2}^{{i}} =\mathrm{1}−\mathrm{2}+\mathrm{4}−\mathrm{8}+\mathrm{16}−\mathrm{32}+… \\ $$$$ \\ $$$$\mathrm{Let}: \\ $$$$\Delta_{\mathrm{1}} =\mathrm{1}−\mathrm{2}+\mathrm{4}−\mathrm{8}+\mathrm{16}−\mathrm{32}+……
Question Number 67672 by Abdo msup. last updated on 30/Aug/19 $${decompose}\:{the}\:{folowing}\:\:{fraction}\:{at}\:{R}\left({x}\right) \\ $$$$\left.\mathrm{1}\right){F}\left({x}\right)=\frac{{x}^{\mathrm{3}} }{\mathrm{1}−{x}^{\mathrm{6}} } \\ $$$$\left.\mathrm{2}\right)\:{G}\left({x}\right)\:=\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{3}} \left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by…
Question Number 67673 by Abdo msup. last updated on 30/Aug/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)} \\ $$ Commented by Abdo msup. last updated on 30/Aug/19…
Question Number 2135 by Rasheed Soomro last updated on 04/Nov/15 $${Solve}\:{the}\:{following}\:{system}\:{of}\:{inequalities} \\ $$$${b}^{\mathrm{2}} {x}^{\mathrm{2}} +{a}^{\mathrm{2}} {y}^{\mathrm{2}} \:\leqslant{a}^{\mathrm{2}} {b}^{\mathrm{2}} \:\:\wedge\:\:\:{a}^{\mathrm{2}} {x}^{\mathrm{2}} +{b}^{\mathrm{2}} {y}^{\mathrm{2}} \:\leqslant{a}^{\mathrm{2}} {b}^{\mathrm{2}\:} \:\:;\:\:\:{a},{b}\neq\mathrm{0}…
Question Number 2134 by Rasheed Soomro last updated on 04/Nov/15 $${Factorize} \\ $$$$−\mathrm{2}+\frac{\mathrm{1}}{{x}^{\mathrm{3}} }+{x}^{\mathrm{3}} \\ $$$$\left({Stepwise}\:{process}\:{is}\:{required}\right) \\ $$ Answered by sudhanshur last updated on 04/Nov/15…