Question

Find the area of the figure bounded by the parabola \( y^2 = 4x \) and \( x^2 = 4y \).

• A. 16
• B. 8
• C. \( \frac{16}{3} \)
• D. 4

Hint:

To compute areas between curves, use definite integrals to evaluate the difference in the functions over the given bounds.

Answer 1

The Correct Option is C

The area of the region can be found using integration. The total area is given by: \[ A = \int_0^2 \left( 4x - x^2 \right) \, dx = \frac{16}{3} \]