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2-2-x-3-cos-x-2-1-2-4-x-2-dx-

Question Number 124446 by ZiYangLee last updated on 03/Dec/20 $$\int_{−\mathrm{2}} ^{\mathrm{2}} \left({x}^{\mathrm{3}} \mathrm{cos}\:\frac{{x}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}\right)\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }{dx}=? \\ $$ Answered by Ar Brandon last updated on 03/Dec/20 $$\mathcal{I}=\int_{−\mathrm{2}}…

If-213-4x-2-2-12-x-2-11-find-the-value-of-213-4x-2-2-12-x-2-

Question Number 124423 by ZiYangLee last updated on 03/Dec/20 $$\mathrm{If}\:\sqrt{\mathrm{213}−\mathrm{4}{x}^{\mathrm{2}} }−\mathrm{2}\sqrt{\mathrm{12}−{x}^{\mathrm{2}} }=\mathrm{11}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\sqrt{\mathrm{213}−\mathrm{4}{x}^{\mathrm{2}} }+\mathrm{2}\sqrt{\mathrm{12}−{x}^{\mathrm{2}} }. \\ $$ Commented by ZiYangLee last updated on 03/Dec/20…