If the area of the region bounded by the curve \( y=a \sqrt{x}+b x, x \)-axis and the lines \( x...

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If the area of the region bounded by the curve \( y=a \sqrt{x}+b x, x \)-axis and the lines \( x=0 \) and \( x=4 \) is 8 sq- units, then the value of \( 2 a+3 b \) is
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