Can we find the area inside a parabola, a tangent, and the $x$-axis?

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The figure shows part of the curve \(y = x^2\). \(PQ\) is the tangent to this curve at \(P\).

Calculate

1. the coordinates of \(Q\),

The point \(Q\) is the \(x\)-intercept of the tangent. Can we find the equation of the tangent at P, and so find Q?

2. the area of the shaded region.

Could we view this region as the difference of two simpler regions?