The diagram shows part of the curve $y=x^3-6x^2+9x+4$. Find the area of the shaded region bounded

Question

The diagram shows part of the curve $y=x^3-6x^2+9x+4$. Find the area of the shaded region bounded by the curve, the $x$-axis, the $y$-axis and the line $x=3$.[4]

Accepted Answer

$\dfrac{75}{4}\text{ units}^2$

Cubic arch between two vertical boundaries

Cubic arch between two vertical boundaries

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