Let $(a,b)$ be the point of intersection of the curve ${x}^{2}=2y$ and the straight line $y-2x-6=0$ in the second quadrant. Then the integral $I={\int }_{a}^{b}\frac{9{x}^{2}}{1+{5}^{x}}dx$ is equal to :

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Let \((a,b)\) be the point of intersection of the curve \({x}^{2}=2y\) and the straight line \(y-2x-6=0\) in the second …

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