∫_a ^( x) ((√(1+4x^2 ))/( (√(a^2 −x^2 ))))dx = ?


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Question Number 215404 by ajfour last updated on 05/Jan/25

$\int_{a}^{x} \frac{\sqrt{1 + 4 x^{2}}}{\sqrt{a^{2} - x^{2}}} d x = ?$
	Answered by Ghisom last updated on 06/Jan/25

	$\int \frac{\sqrt{1 + 4 x^{2}}}{\sqrt{a^{2} - x^{2}}} d x = E (\arcsin \frac{x}{a} ∣ - 4 a^{2}) + C$
	Commented by ajfour last updated on 07/Jan/25

	$T h a n k s . E l l i p t i c ?$
	Commented by Ghisom last updated on 07/Jan/25

	$yes$
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