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.
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
= ln2 - ln1
= 0.693 - 0
Thus, the area under the graph of f(x) = 1/x from x = 1 to x = 2 is 0.693