The line $y = x + 5$ meets the curve $y = x^2 - 5x + 2$ at the points $A$ and $B$. Find the

Question

The line $y = x + 5$ meets the curve $y = x^2 - 5x + 2$ at the points $A$ and $B$. Find the $x$-coordinates of $A$ and $B$. Sketch the line and the curve on the same set of axes. Find the area bounded between the line and the curve.

Accepted Answer

(a) $x=3\pm2\sqrt3$; (c) $32\sqrt3\text{ units}^2$

Integration - Area Bounded by a Curve and Straight Lines

Integration - Area Bounded by a Curve and Straight Lines

Solution:

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