Mathematics - Area Under Curves Question with Solution | TestHub

Observing the graph of $\log x$, we find that the required area lies below $\mathrm{X}$-axis between $\mathrm{x}=0$ and $x=1$.
$$\begin{array}{rl}& \text{ Sorequired area }=\left|{\int }_0^1\log xdx\right|={|(x\log x-x)||}_0^1\\ & =|-1|=1\end{array}$$