Treat variable the integration from the expression from from from

To find the capacitance of a spherical capacitor with an inhomogeneous dielectric, we can use the formula:

C = (4πε₀) / (1/R₁ - 1/R₂)

In this case, the dielectric constant ε is given by:

ε = (ε₀ * k) / (r²)

C = (4πε₀ / k) * ∫1 dr (from r=a to r=b)

C = (4πε₀ / k) * [r] (from r=a to r=b)