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Category: Integration

If-f-x-is-an-even-function-is-n-f-n-2-n-0-f-n-true-

Question Number 91960 by frc2crc last updated on 04/May/20 $$\mathrm{If} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{an}\:{e}\mathrm{ven}\:\mathrm{function}\:\mathrm{is} \\ $$$$\underset{{n}=−\infty} {\overset{\infty} {\sum}}{f}\left({n}\right)=\mathrm{2}\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{f}\left({n}\right)\:{true}? \\ $$ Commented by abdomathmax last updated…

cos-3-2x-sin-3-3x-dx-

Question Number 91961 by jagoll last updated on 04/May/20 $$\int\:\mathrm{cos}\:^{\mathrm{3}} \left(\mathrm{2x}\right)\:\mathrm{sin}\:^{\mathrm{3}} \left(\mathrm{3x}\right)\:\mathrm{dx}\: \\ $$ Commented by mathmax by abdo last updated on 04/May/20 $${cos}\left(\mathrm{2}{x}\right){sin}\left(\mathrm{3}{x}\right)\:={cos}\left(\mathrm{2}{x}\right){cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{3}{x}\right) \\…

find-the-value-of-D-x-2-y-dxdy-on-the-domain-D-x-y-R-2-x-2-y-2-2x-0-and-y-0-

Question Number 26398 by abdo imad last updated on 25/Dec/17 $${find}\:{the}\:{value}\:{of}\:\:\int\int_{{D}} \:{x}^{\mathrm{2}} {y}\:{dxdy}\:\:\:{on}\:{the}\:{domain} \\ $$$${D}=\left\{\left({x}.{y}\right)\in{R}^{\mathrm{2}} /\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:−\mathrm{2}{x}\leqslant\mathrm{0}\:{and}\:{y}\geqslant\mathrm{0}\right\} \\ $$ Commented by abdo imad last…