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Application of Integrals

RS Aggarwal

CBSE

Grade 12

Question:

Area bounded by parabola $y = x^2$ and line $y = x$ is:
(a) $1/6$
(b) $1/3$
(c) $1/2$
(d) $1/12$

Step-by-Step Solution

Key Concept: \int_0^1 (x - x^2) dx = 1/2 - 1/3 = 1/6.

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Correct Answer: $1/6$

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