Which of the following is the correct equation to find the area of the shaded region, with reference to the figure given below?
Answer & explanation
Correct answer: option 4
from given figure x values from 0 to 8
so to find area as y = 2x is above $x^2=4y$
so Ar(y = 2x) along x-axis - Ar(x2 = 4y) along x-axis
= Net area
$=\int\limits_0^8 2 x-\frac{x^2}{4} d x$