Let \(f\left( x \right)\) be a function such that
\(f\left( {\frac{1}{x}} \right)\; + \;{x^3}f\left( x \right)\) = 0, what is \(\mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx\) equal to?
1
2 f(1)
2
0
3
2 f(-1)
4
4 f(1)
Let \(f\left( x \right)\) be a function such that
\(f\left( {\frac{1}{x}} \right)\; + \;{x^3}f\left( x \right)\) = 0, what is \(\mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx\) equal to?