Prove the following function is convex

Question

we have function $\Phi(x)=\int_{0}^{|x|} \phi(x) \,dx$ where $\phi(x)$ is an increasing function and $x\in R$
My try is we have to show that $\Phi(\alpha x+\beta y)\leq \alpha\Phi(x)+\beta \Phi(y)$ where $\alpha+\beta=1$, $0\leq \alpha,\beta \leq 1$ so we have now
$\Phi(\alpha x+\beta y)=\int_{0}^{|\alpha x+\beta y|} \phi(x) \,dx$ from this step I have no idea how do I proceed .Please if anyone give some hint or solution.