Definite integrals of piecewise functions

$f(x) = \begin{cases} 3x^2-1 & \text{for} ~~~~x\gt{0} \\ 6x-1& \text{for} ~~~~ x \leq0\end{cases}$ **Evaluate the definite integral.** $\displaystyle\int^1_{-1}f(x)\,dx = $ [[☃ radio 1]]