find-dx-x-2-x-2-x-2-x-2-

Question Number 144216 by Mathspace last updated on 23/Jun/21

f i n d \int \frac{d x}{\sqrt{x^{2} + x + 2} + \sqrt{x^{2} - x + 2}}

Answered by bemath last updated on 23/Jun/21

\frac{1}{\sqrt{x^{2} + x + 2} + \sqrt{x^{2} - x + 2}} = \frac{\sqrt{x^{2} + x + 2} - \sqrt{x^{2} - x + 2}}{2 x}

I = \int \frac{\sqrt{x^{2} + x + 2}}{2 x} dx - \int \frac{\sqrt{x^{2} - x + 2}}{2 x} dx

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