I can to do this
\begin{center}
\begin{tikzpicture}
\fill [red!50, domain=1:3, variable=\x]
(1, 0)
-- plot ({\x}, {2.2/(\x)})
-- (3, 0)
-- cycle; \draw[->] (-1,0) -- (7,0) node[right] {$x$};
\draw[->] (0,-1) -- (0,4) node[above] {$y$};
\draw[scale=1.5,domain=0.35:4,smooth, variable=\x,black, ultra thick] plot ({\x},{1/(\x)});
\draw[dashed] (3,0)--(3,0.75);
\draw[dashed] (0,0.75)--(3,0.75);
\node at (-0.5,0.75){$\frac{1}{b}$};
\node at (3,-0.3){$b$};
\node at (1,-0.3){$a$};
\node at (-0.5,2.2) {$\frac{1}{a}$};
\draw[dashed] (1,0)--(1,2.2);
\draw[dashed] (0,2.2)--(1,2.2);
\node at (1,2.2) {$\bullet$};
\node at (3,0.75) {$\bullet$};
\end{tikzpicture}
\end{center}
But I can't this

