Find the area, if it is finite, of the region under the graph of $y=\frac{7}{3 x^{2}}$ over the interval $[2, \infty)$.
What is the area of the region under the graph over the interval $[2, \infty)$ ? Select the correct choice below and fill in any answer boxes within your choice.
A. (Type an integer or a fraction.)
B. The integral diverges.

Step 1 ：The area under the curve of a function from a to b is given by the definite integral of the function from a to b. In this case, we need to find the area under the curve of the function \(y=\frac{7}{3 x^{2}}\) from 2 to infinity. This is equivalent to finding the definite integral of the function from 2 to infinity. However, the upper limit of the integral is infinity, which means we are dealing with an improper integral. We need to check if this integral converges or diverges. If it converges, the area is finite and equal to the value of the integral. If it diverges, the area is not finite.

Step 2 ：The integral of the function from 2 to infinity is \(\frac{7}{6}\). This means that the integral converges and the area under the curve of the function from 2 to infinity is finite and equal to \(\frac{7}{6}\).

Step 3 ：Final Answer: The area of the region under the graph over the interval \([2, \infty)\) is \(\boxed{\frac{7}{6}}\).