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Question Number 186195 by normans last updated on 02/Feb/23

$$$$$$\underset{1}{\stackrel{2}{\int }}\frac{1/2\cdot \left({\mathit{x}}^2\right)}{\mathit{x}\sqrt{{\mathit{x}}^2+2}}\mathit{d}\mathit{x}$$

Answered by MJS_new last updated on 02/Feb/23

$$\mathrm{you}\mathrm{are}\mathrm{not}\mathrm{really}\mathrm{into}\mathrm{mathematics}?$$$$\frac{1/2.\left(x^2\right)}{x\sqrt{x^2+2}}=\frac{x}{2\sqrt{x^2+2}}$$$$\int \frac{x}{2\sqrt{x^2+2}}dx=\frac{\sqrt{x^2+2}}{2}+C$$$$\mathrm{answer}\mathrm{is}\frac{\sqrt{6}-\sqrt{3}}{2}$$

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