A parallel plate capacitor with plate area ' A ' and distance of separation ' d ' is filled with a dielectric. What is the capacity of the capacitor…

A parallel plate capacitor with plate area ' $\displaystyle A$ ' and distance of separation ' $\displaystyle d$ ' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as : $$\varepsilon(x)=\varepsilon_0+k x, \text { for }\left(0<x \leq \frac{d}{2}\right) $$ $$\varepsilon(x)=\varepsilon_0+k(d-x), \text { for }\left(\frac{d}{2} \leq x \leq d\right) $$