Evaluate ∫ \frac{x^2+4}{x^4+16} dx

Correct Answer is : 12√2tan−1(x2−42x√2) + c

1/{2\sqrt2} \tan^{-1} (\frac{x^2-4}{2x\sqrt2}) + c

1/{2\sqrt2} \tan^{-1} (\frac{x^2-4}{2\sqrt2}) + c

1/{2\sqrt2} \tan^{-1} (\frac{x^2-4}{x\sqrt2}) + c

VITEEE 2011 Paper

Section: Mathematics

Question : 92 of 120

Marks: +1, -0

Evaluate ∫

x2+4

x4+16

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