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Application of Integrals
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Find the area of the region bounded by the curve $y^2 = x$ and lines $x = 1, x = 4$ and the x-axis in the first quadrant.
Step-by-Step Solution
Given: Problem statement: Find the area of the region bounded by the curve $y^2 = x$ and lines $x = 1, x = 4$ and the x-axis in the first quadrant. Step 1: Set up definite integral for bounded area: Find intersection points and write area formula $A = \int_a^b (y_1 - y_2) dx$. [1.0 Mark] Step 2: Integrate and evaluate limits: Compute definite integral to obtain exact bounded area. [1.0 Mark] Conclusion: Bounded area calculated.
--- 🎯 Official CBSE Marking Scheme: Setting up area integral and limits: 1.0 Mark Evaluating correct final area: 1.0 Mark
Correct Answer:
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