Menu Close

Category: Integration

dx-x-16-4x-2-

Question Number 141943 by cesarL last updated on 25/May/21 $$\int\frac{{dx}}{{x}\sqrt{\mathrm{16}−\mathrm{4}{x}^{\mathrm{2}} }} \\ $$ Answered by MJS_new last updated on 25/May/21 $$\int\frac{{dx}}{{x}\sqrt{\mathrm{16}−\mathrm{4}{x}^{\mathrm{2}} }}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{dx}}{{x}\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }}= \\ $$$$\:\:\:\:\:\left[{t}=\frac{\mathrm{2}+\sqrt{\mathrm{4}−{x}^{\mathrm{2}}…

Given-that-f-x-f-x-1000-for-every-x-R-If-0-3-f-x-30-what-is-the-value-of-3-5-f-x-2016-dx-

Question Number 10849 by Joel576 last updated on 27/Feb/17 $$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:{f}\left({x}\:+\:\mathrm{1000}\right)\:\mathrm{for}\:\mathrm{every}\:{x}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:{f}\left({x}\right)\:=\:\mathrm{30},\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\underset{\mathrm{3}} {\overset{\mathrm{5}} {\int}}\:{f}\left({x}\:+\:\mathrm{2016}\right)\:{dx}\:? \\ $$ Terms of Service Privacy Policy…