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find-0-x-2-x-1-x-2-x-4-dx-




Question Number 123673 by mathmax by abdo last updated on 27/Nov/20
find ∫_0 ^∞   ((√(x^2 +x+1))−(√(x^2 +x)))^4 dx
$$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\left(\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}}−\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\right)^{\mathrm{4}} \mathrm{dx} \\ $$

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