The integral equals [2015 JEE Main]

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The integral

\int \frac{dx}{x^2(x^4 + 1)^4}

equals [2015 JEE Main] (1)

\left( \frac{x^4 + 1}{x^4} \right)^{\frac{1}{4}} + C

(2)

(x^4 + 1)^{\frac{1}{4}} + C

(3)

-(x^4 + 1)^{\frac{1}{4}} + C

(4)

-\left( \frac{x^4 + 1}{x^4} \right)^{\frac{1}{4}} + C