Estimate the Area under the Graph of f(x) = 1/x from x = 1 to x = 2.

We will be using the area under the curve formula to solve this.

Answer: The Area under the Graph of f(x) = 1/x from x = 1 to x = 2 is 0.693

Let's solve this step by step to find the answer.

Explanation:

Given that, f(x) = 1/x from x = 1 to x = 2

The area under the curve formula: Area Under the Curve = ∫_a^b f(x) dx

Here, a and b are the limits of integration.

Here, a = 1 and b = 2

Area Under the Curve = ∫₁² 1/x dx

= [ln|x|]₁²

= ln2 - ln1

= 0.693 - 0

= 0.693