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find-a-b-1-x-2-1-x-2-1-x-4-dx-with-a-gt-1-and-b-gt-1-




Question Number 31505 by abdo imad last updated on 09/Mar/18
 find    ∫_a ^b     ((1−x^2 )/((1+x^2 )(√(1+x^4 ))))dx  with a>1 and b>1.
$$\:{find}\:\:\:\:\int_{{a}} ^{{b}} \:\:\:\:\frac{\mathrm{1}−{x}^{\mathrm{2}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}{dx}\:\:{with}\:{a}>\mathrm{1}\:{and}\:{b}>\mathrm{1}. \\ $$

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