What is \int \frac{x^4+1}{x^2+1} d x equal to?

Correct Answer is : x33−x+2tan−1x+c

\frac{x^3}{3}-x+4 \tan ^{-1} x+c

\frac{x^3}{3}+x+4 \tan ^{-1} x+c

\frac{x^3}{3}-x+2 \tan ^{-1} x+c

\frac{x^3}{3}-x-4 \tan ^{-1} x+c where c is a constant of integration.

UPSC NDA I 2010 Mathematics Paper

Question : 113 of 120

Marks: +1, -0

What is ∫‌

x4+1

x2+1

dx equal to?

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