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Question Number 186310 by normans last updated on 03/Feb/23

$$$$$$\frac{\int \mathit{x}{({\mathit{x}}^2+5)}^{1/2}\mathit{d}\mathit{x}-3\int \mathit{x}{({\mathit{x}}^2+5)}^{-1/2}\mathit{d}\mathit{x}}{\int \frac{\mathit{x}[({\mathit{x}}^2+5)-3]}{\sqrt{{\mathit{x}}^2+5}}\mathit{d}\mathit{x}}=??$$$$$$

Answered by Frix last updated on 03/Feb/23

$$=1+\frac{3({\mathrm{C}}_1-C_2-C_3)}{(x^2-4)\sqrt{x^2+5}+3C_3}$$

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