The line $y = \frac{1}{2}x$ is the tangent to the curve $y^2 = x - 1$ at the point $(2, 1)$. C

Question

The line $y = \frac{1}{2}x$ is the tangent to the curve $y^2 = x - 1$ at the point $(2, 1)$. Calculate the area enclosed by the curve, this tangent and the $x$-axis.

Accepted Answer

$\frac13\text{ units}^2$

Integration - Area Bounded by a Curve and Straight Lines

Integration - Area Bounded by a Curve and Straight Lines

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