Question:
Find the area of the figure bounded by the parabola \( y^2 = 4x \) and \( x^2 = 4y \).
Find the area of the figure bounded by the parabola \( y^2 = 4x \) and \( x^2 = 4y \).
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To compute areas between curves, use definite integrals to evaluate the difference in the functions over the given bounds.
Updated On: July 22, 2025
- 16
- 8
- \( \frac{16}{3} \)
- 4
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The Correct Option is C
Solution and Explanation
The area of the region can be found using integration. The total area is given by:
\[
A = \int_0^2 \left( 4x - x^2 \right) \, dx = \frac{16}{3}
\]
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