In the diagram, the curve $y = \ln\left(\frac{x}{2}\right)$ cuts the $x$-axis at $Q(q, 0)$ and

Question

In the diagram, the curve $y = \ln\left(\frac{x}{2}\right)$ cuts the $x$-axis at $Q(q, 0)$ and passes through the point $P(5, p)$. State the exact value of $p$ and of $q$. Calculate the exact area of the shaded region.

Accepted Answer

(a) $p=\ln\left(\frac{5}{2}\right)$, $q=2$ (b) $5\ln\left(\frac{5}{2}\right)-3\text{ units}^2$

Integration - Area under Logarithmic Curve

Integration - Area under Logarithmic Curve

Video Solution:

Solution:

Solution locked