Can anyone answer with steps how to get the expected value of this random variable?
Let $X$ be a random variable with following c.d.f,
$$F(x) = \begin{cases}0 &x < -1\\ \dfrac{1-x^2}4 & -1 \le x < \dfrac{-1}{\sqrt 2}\\ \dfrac12 - x^4 & \dfrac{-1}{\sqrt 2} \le x < 0 \\ \dfrac34 + x & 0 \le x \lt\dfrac14 \\ 1 &x \ge \dfrac14 \end{cases}$$
Find $\mathbb E(X)$