-1-x2log x2-a2 dx-1-xlog x2-a2 -k-1-atan-1x-a- Find k-

nbsp;∫ nbsp; 1 / x^ 2 log nbsp;( x^ 2 +a^ 2 ) dx I= 1/xlog ( x^2+a^2 )+∫1/x.1/x^2+a^2.2x dx = 1/xlog ( x^2+a^2 )+2∫1/x^2+a^2dx = 1/xlog ...

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Change of Variables

∫1/x2log x2+a...

Question

$\int \frac{1}{x^{2}} log (x^{2} + a^{2}) d x = \frac{- 1}{x} log (x^{2} + a^{2}) + k . \frac{1}{a} {tan}^{- 1} \frac{x}{a} .$ Find $k$ .

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