If the normal to the curve y(x)=x∫0(2t^2−15t+10)dt at a point (a, b) is parallel to the line x + 3y

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If the normal to the curve \(y(x)=\int_0^x\left(2 t^2-15 t+10\right) d t\) at a point \((a, b)\)... If the normal to the curve \(y(x)=\int_0^x\left(2 t^2-15 t+10\right) d t\) at a point \((a, b)\)...