Mathematics

Problem

The area of the shaded region bounded by the curves

y^2 = x

x = 4

and the

x

-axis is given by ![Graph showing the shaded region bounded by the parabola y^2 = x, the vertical line x = 4, and the x-axis. The region extends from x=0 to x=4.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260107T161002Z/13aeca25001947d1891c7a3b4958d3a5/7fb5215fd72210a2e4cce6df55550c89_img.jpg) (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

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