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# 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

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