\int {x d x}/{x^{4}+x^{2}+1} equals

\frac{2}{3} \tan ^{-1}( {2 x^{2}+1}/\sqrt{3})+C Where {C} is an arbitrary constant.

\frac{1}\sqrt{3}[\tan ^{-1}(\frac{2 x-1}\sqrt{3})-\tan ^{-1}(\frac{2 x+1}\sqrt{3})]+C Where {C} is an arbitrary constant.

\frac{1}\sqrt{3} \tan ^{-1}( {2 x^{2}+1}/\sqrt{3})+C Where {C} is an arbitrary constant.

\frac{1}\sqrt{3}[\tan ^{-1}(\frac{2 x-1}\sqrt{3})+\tan ^{-1}(\frac{2 x+1}\sqrt{3})]+C Where {C} is an arbitrary constant.

JEE Advanced 2020 Full Test 3 Paper 2

Question : 45 of 54

Marks: +1, -0

∫‌

xdx

x4+x2+1

equals

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