# Definite Integral – Finding area to a function with a parameter – Exercise 2385

Exercise

Given

$$f(x)=\frac{a}{x}, a>o$$

Pass a tangent line at the point x = a. Find the tangent equation and the area of the region bounded by the equations: the given function, the tangent equation, x = 3a, and the x-axis.

$$S=a(\ln 3-\frac{1}{2})$$