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the value of int 0 3 int 0 0 x 2 3y 2 dy dx is
Question:
The value of \( \int_0^3 \int_0^0 (x^2 + 3y^2) \, dy \, dx \) is
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When solving double integrals, always integrate with respect to one variable first before solving for the other.
AP PGECET - 2024
AP PGECET
Updated On:
Jun 5, 2025
12
13
11
14
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The Correct Option is
A
Solution and Explanation
First, we integrate \( x^2 + 3y^2 \) with respect to \( y \), and then integrate the result with respect to \( x \). After solving the double integral, we find that the value is 12.
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