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int(dx)/(x(x^2+1)equal(A) log|x|-1/2log(...

`int(dx)/(x(x^2+1)`equal(A) `log|x|-1/2log(x^2+1)+C` (B) `log|x|+1/2log(x^2+1)+C`(C) `-log|x|+1/2log(x^2+1)+C`(D) `1/2log|x|+log(x^2+1)+C`

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AI Generated Solution

To solve the integral \(\int \frac{dx}{x(x^2+1)}\), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ \int \frac{dx}{x(x^2+1)} \] We can rewrite this as: ...
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Knowledge Check

  • int (dx)/((x+1)(x-2))=A log (x+1)+B log (x-2)+C , where

    A
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    C)2
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