Find the area enclosed between the curve `y = x^(2)` , the axis and the ordinates x = 1 and x=2 .

Explanation

To find the area enclosed between the curve \( y = x^2 \), the x-axis, and the ordinates \( x = 1 \) and \( x = 2 \), we will use integration. Here are the steps to solve the problem:

### Step 1: Set up the integral
The area \( A \) under the curve from \( x = 1 \) to \( x = 2 \) can be expressed as:
\[ A = \int_{1}^{2} y \, dx \]
Since \( y = x^2 \), we substitute this into the integral:
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