Level:
Project ID:
9000065907
Accepted:
1
Evaluate the following integral on \(\mathbb{R}\).
\[
\int \frac{x^{4} - 1}
{x^{2} + 1}\, \text{d}x
\]
\(\frac{1}
{3}x^{3} - x + c,\ c\in \mathbb{R}\)
\(\frac{1}
{3}x^{3} + x + c,\ c\in \mathbb{R}\)
\(\frac{1}
{5}x^{5} - x +\ln |x^{2} - 1| + c,\ c\in \mathbb{R}\)
\(3x^{2} -\ln |x^{2} - 1| + c,\ c\in \mathbb{R}\)