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Class 12 Applications Of Integrals · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Applications Of Integrals · Assertion Reason #1

Assertion: The area between y=sin²x and the x-axis on [0,π] is greater than that for y=sin x on [0,π]. Reason: If u>1 then u²>u.
Comparison: sin x and sin²x on [0,π]
Comparison: sin x and sin²x on [0,π]

✅ Step-by-Step Solution

Final Answer: Option (D): A is false, but R is true.
  1. On [0,π], 0≤sin x≤1, so sin²x≤sin x. The areas are π/2 and 2, respectively; A is false. R is true but its u>1 hypothesis is inapplicable.

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