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ID:
Class: 12
Subject: Math
Topic: Application of Integral
Type: Mcq
Year: 2025
Question:
The area of the shaded region bounded by the curve \(y^2=x,x=4\) and the \(x-\)axis is given by
A.
\( \int_{0}^{4} x \, dx\)
B.
\( \int_{0}^{2} y^2 \, dy\)
C.
\( 2 \int_{0}^{4} \sqrt{x} \, dx\)
D.
\( \int_{0}^{4} \sqrt{x} \, dx\)
Official Solution
Correct Answer:
\( \int_{0}^{4} \sqrt{x} \, dx\)
Explanation:
The curve \( y^2 = x \) is symmetric about the x-axis.
The shaded area is the area above the x-axis:
Answer:
\( \int_0^4 \sqrt{x} \, dx \)
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