Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q85
Let a and b respectively be the points of local maximum and local minimum of the function f(x)=2 x^3-3 x^2-12 x. If A is the total area of the region…
Let $\displaystyle a$ and $\displaystyle b$ respectively be the points of local maximum and local minimum of the function
$$f(x)=2 x^3-3 x^2-12 x .
$$
If A is the total area of the region bounded by $\displaystyle y=f(x)$, the $\displaystyle x$-axis and the lines $\displaystyle x=\mathrm{a}$ and $\displaystyle x=\mathrm{b}$, then $\displaystyle 4$ A is equal to \_\_\_\_.
Official answer
114
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