-x- x2-4 -x2-1dx -1-ktan -1 - x 2 -1 - 3 -c- what is k -

I=∫x/ ( x^2+4 )√(x^2+1)dx Let x^2+I=t^2or x dx =t dt ∴ I=∫t dt/ ( t^2 +3 )t =1/√(3)tan^ 1t/√(3)+c = 1 /√( 3 ) #160;tan ^ 1 √( x^ ...

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Parametric Differentiation

∫x/ x2+4 √x2+...

Question

$\int \frac{x}{(x^{2} + 4) \sqrt{x^{2} + 1}} d x = \frac{1}{\sqrt{k}} {tan}^{- 1} \sqrt{\frac{x^{2} + 1}{3}} + c$ . what is $k ?$

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