Let f:[−3,1] → R be defined as f(x)=... | Area Under Curve | JEE Main

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17-03-2021 S2

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Let $f:[-3,1] \rightarrow R$ given as $$ f(x)=\left\{\begin{array}{cc} \min \left\{(x+6), x^2\right\}, & -3 \leq x \leq 0 \\ \max \left\{\sqrt{x}, x^2\right\}, & 0 \leq x \leq 1 \end{array}\right. $$ If the area bounded by y = f(x) and x-axis is A, then the value of 6A is equal to ______.

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