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 ​=\(_int_a^b\) f(x) dx

Here, a and b are the limits of integration.

Here, a = 1 and b = 2

Area Under the Curve ​= \(\int_1^2\) 1/x dx

​= [ln|x|]\(_1^2\)

= ln2 - ln1

= 0.693 - 0

= 0.693

Thus, the area under the graph of f(x) = 1/x from x = 1 to x = 2 is 0.693