If the area of the region bounded by the curves y = 4 - (x²)/4 and y = (x - 4)/2 is equal to α, then 6α equals:

Integral Calculus: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q191

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002

If the area of the region bounded by the curves

y = 4 - \frac{x^2}{4}

and

y = \frac{x - 4}{2}

is equal to

\alpha

, then

6\alpha

equals: