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Category: Integration

find-dx-1-sinx-sin-2x-

Question Number 68033 by mathmax by abdo last updated on 03/Sep/19 $${find}\:\int\:\:\frac{{dx}}{\mathrm{1}+{sinx}\:+{sin}\left(\mathrm{2}{x}\right)} \\ $$ Answered by MJS last updated on 04/Sep/19 $$\mathrm{I}\:\mathrm{think}\:\mathrm{I}\:\mathrm{did}\:\mathrm{this}\:\mathrm{before} \\ $$$$\mathrm{we}\:\mathrm{have}\:\mathrm{to}\:\mathrm{use}\:\mathrm{Weierstrass} \\…

0-sin-1-x-1-pi-sin-pi-x-dx-

Question Number 133563 by bemath last updated on 23/Feb/21 $$\:\underset{\mathrm{0}} {\overset{\infty} {\int}}\:\left[\mathrm{sin}\:\frac{\mathrm{1}}{\mathrm{x}}−\frac{\mathrm{1}}{\pi}\mathrm{sin}\:\left(\frac{\pi}{\mathrm{x}}\right)\right]\:\mathrm{dx} \\ $$ Answered by EDWIN88 last updated on 23/Feb/21 $$\:\mathrm{Calculate}\:\underset{\mathrm{0}} {\overset{\infty} {\int}}\left(\mathrm{sin}\left(\:\frac{\mathrm{1}}{\mathrm{x}}\right)−\frac{\mathrm{1}}{\pi}\:\mathrm{sin}\:\left(\frac{\pi}{\mathrm{x}}\:\right)\:\right)\mathrm{dx} \\…

0-3-9-x-2-dx-a-13-5-b-21-c-22-5-d-1-8-e-30-

Question Number 133541 by bemath last updated on 22/Feb/21 $$\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\sqrt{\mathrm{9}−\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx}\:=? \\ $$$$\left(\mathrm{a}\right)\mathrm{13}.\mathrm{5}\:\:\:\:\:\:\left(\mathrm{b}\right)\mathrm{21}\:\:\:\:\:\:\left(\mathrm{c}\right)\mathrm{22}.\mathrm{5} \\ $$$$\left(\mathrm{d}\right)\mathrm{1}.\mathrm{8}\:\:\:\:\:\:\:\:\:\left(\mathrm{e}\right)\:\mathrm{30} \\ $$ Commented by MJS_new last updated on…