Area bounded by the curve `y=x^3`, the x-axis and the ordinates `x = 2`and `x = 1`is(A) `-9` (B) `(-15)/4` (C) `(15)/4` (D) `(17)/4`

Explanation

To find the area bounded by the curve \( y = x^3 \), the x-axis, and the ordinates \( x = 1 \) and \( x = 2 \), we can follow these steps:

### Step 1: Set up the integral
The area \( A \) under the curve from \( x = 1 \) to \( x = 2 \) can be found using the definite integral:

\[ A = \int_{1}^{2} y \, dx = \int_{1}^{2} x^3 \, dx \]
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