Question:

Given: Problem statement: Find the area bounded by $y = x^3$, x-axis and ordinates $x = -2$ and $x = 1$.
Step 1: Determine points of intersection:
Solve curve equations simultaneously to find integration limits $[a, b]$. [1.0 Mark]
Step 2: Set up bounded region integral:
Write $A = \int_a^b (f(x) - g(x)) dx$. [1.0 Mark]
Step 3: Evaluate integral and state area:
Compute definite integral and evaluate limits. [1.0 Mark]
Conclusion: Bounded area calculated.

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🎯 Official CBSE Marking Scheme:
Finding intersection points: 1.0 Mark
Setting up integrand (f(x) - g(x)): 1.0 Mark
Evaluating definite integral and area: 1.0 Mark