The specific resistance of a material of wire changes as `rho = rho_(0)x` along the length of the conductor whose area of cross section is constant and equal to A. Here x is the distance of point on conductor from one end of the wire. Calculate its electric resistance. (Given the length of the wire is L)

Explanation

To solve the problem of calculating the electric resistance of a wire with a varying specific resistance, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: The specific resistance (resistivity) of the wire varies along its length as given by the equation \( \rho = \rho_0 x \), where \( x \) is the distance from one end of the wire. The area of cross-section \( A \) is constant, and the total length of the wire is \( L \).

2. **Define a Small Element**: Consider a small element of the wire of length \( dx \) at a distance \( x \) from one end. The resistance \( dR \) of this small element can be expressed using the formula for resistance:
\[
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