Question 142 of 230MediumMCQ
The area (in sq. units) of the region described by {(x,y):y2≤2x and y≥4x−1} is: Solutions · 1
Official solution
Required area
= Area of ABCD - ar (ABOCD)
\[ = {1 \over 4}\left[ {{{{y^2}} \over 2} + y} \right]_{ - 1/2}^1\,\, - {1 \over 2}\left[ {{{{y^3}} \over 3}} \right]_{ - 1}^1\]
\[ = {1 \over 4}\left[ {{3 \over 2} + {3 \over 8}} \right] - {9 \over {48}}\]
\[ = {{15} \over {32}} - {9 \over {48}} = {{27} \over {96}} = {9 \over {32}}\] Answer the question to unlock