$\int \frac{x^3 \sin(\tan^{-1}(x^4))}{1+x^8} \, dx$ is equal to
$-\frac{\cos(\tan^{-1}(x^4))}{4} + C$
$\frac{\cos(\tan^{-1}(x^4))}{4} + C$
$-\frac{\cos(\tan^{-1}(x^3))}{3} + C$
$\frac{\sin(\tan^{-1}(x^4))}{4} + C$
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