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enter image description here

I want to draw the below picture. Please help me!

Sebastiano
  • 54,118
Cao Thành Thái
  • 333
  • You do not want to draw the integral, but the bounded area and we have questions about this on the site. – TeXnician May 01 '18 at 10:08
  • 2
    Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document. – BambOo May 01 '18 at 10:20

2 Answers2

7

It's 1st of May, we should try to write less (i.e. shorter code as possible) ;)

\documentclass[tikz,border=7pt]{standalone}
\begin{document}
  \begin{tikzpicture}[scale=3,thick]
    \fill[lightgray,text=black,draw=blue]
      (-1,0) coordinate[label=below:$A$,label=above left:$-\sqrt{2}$] (A)
        arc(180:45:1) coordinate[label=above:$B$](B);
    \draw[blue] (B) edge[shorten <=-7mm,shorten >=-7mm] node[pos=-.17,black]{$d$} (A) arc(45:0:1cm);
    \draw
      (-1.4,0) edge[-latex] node[at end,right]{$x$} (1.4,0)
      (0,0) coordinate(O) edge[-latex] node[at end,above]{$y$} (0,1.2);
    \draw[dashed] (O|-B) node[left]{$1$} -| (B|-O) node[below]{$1$};
  \end{tikzpicture}
\end{document}

enter image description here

Kpym
  • 23,002
6

Just for fun: how to draw this without using the calc library.

\documentclass[tikz,border=3.14mm]{standalone}
\begin{document}
\begin{tikzpicture}[scale=2]
\draw[blue,thick] ({sqrt(2)},0)  arc(0:180:{sqrt(2)}) coordinate(BL) node[above left,black]{$-\sqrt{2}$};
\draw[fill=gray,thick,draw=blue] (1,1) coordinate(TR) node[above,black]{$B$} arc(45:180:{sqrt(2)})
node[below]{$A$} -- cycle;
\draw[-latex,thick] (-2,0) -- (2,0) node[below]{$x$};
\draw[-latex,thick] (0,0)  -- (0,2) node[left]{$y$};
\draw[dashed] (0,1) node[left]{$1$} -- (1,1) -- (1,0) node[below] {$1$};
\path (BL) -- (TR) coordinate[pos=-0.2] (start) coordinate[pos=1.2] (end);
\draw[blue,thick] (start) -- (end) node[above left,black]{$d$};
\end{tikzpicture}
\end{document}

enter image description here