Application of Integrals
Oswaal
CBSE
Grade 12
Question:
Using integration, find the area of the region bounded by the circle $x^2 + y^2 = 16$ and the parabola $y^2 = 6x$.
Step-by-Step Solution
Key Concept: Intersection x = 2. Area = 2 \left[ \int_0^2 \sqrt{6x} dx + \int_2^4 \sqrt{16 - x^2} dx \right] = \dfrac{4\sqrt{3}}{3} + \dfrac{16\pi}{3} sq units.
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Correct Answer:
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