The diagram shows part of the curve $y=16-x^4$, which meets the positive $x$-axis at $A$. Find

Question

The diagram shows part of the curve $y=16-x^4$, which meets the positive $x$-axis at $A$. Find the area of the shaded region bounded by the curve and the coordinate axes.[4]

Accepted Answer

$\dfrac{128}{5}\text{ units}^2$

Quartic region ending at an intercept

Quartic region ending at an intercept

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