Find the areas between the following curves and the $x$-axis, within the given boundaries. \(y = 2

Question

Find the areas between the following curves and the $x$-axis, within the given boundaries. $y = 25 - x^2$, $x = -4$, $x = 1$ $y = (x - 3)(x + 4)(x + 8)$, $x = -8$, $x = 3$ $y = x^3 + 2$, $x = -1$, $x = 2$ $2y = 2 + x^2$, $x = -1$, $x = 1$

Accepted Answer

(a) $\dfrac{310}{3}\text{ units}^2$; (b) $\dfrac{2099}{4}\text{ units}^2$; (c) $\dfrac{39}{4}\text{ units}^2$; (d) $\dfrac73\text{ units}^2$

Integration - Area Enclosed by the Curve and the X-Axis

Integration - Area Enclosed by the Curve and the X-Axis

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