shading a region











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I need to shade the region bounded by the curve, the tangent and the x axis. Could you help?



begin{tikzpicture}[scale=1.442515197749737655215] 
draw[line width=1.42pt, ,smooth,samples=1300,domain=-.61851:6.92614618] plot(x,{x- ln(1+x*x) });
draw[-> ] (-.8,0)--(7.2469,0) node[right]{$x$};
draw[-> ] (0,-1.6)--(0,3.02914275) node[above]{$y$};
draw[dashed](1,0)--(1,.304);
draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(2.05pt);
draw(1,-.341624) node {1};
draw(5,-.341624) node {5};

draw(-.7314205,.307061)node {$1-ln 2$};
draw[dashed](1,0)--(1,0.3044);
draw[fill=red, dashed, very thin](1,0.306852819440054690582767878541823431924499865639744745879) --(0, .306852819440054690582767878541823431924);
draw(2.105314205,.98307061)node {$y=x-ln(x^2+1)$};


draw[line width=.482pt, ,smooth,samples=1300,color=red, domain=-.61851:6.414618] plot(x,{0.61538*x-1.335});

draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(1.5pt);
draw[fill=red](5,1.74119 ) circle(2.05pt);
draw[dashed, thin](5,0)--(5,1.74173044);
draw[fill=red, dashed, very thin](5,1.749) --(0, 1.749);

draw(-.7314205,1.74119)node {$1.7419$};


end{tikzpicture}









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    I need to shade the region bounded by the curve, the tangent and the x axis. Could you help?



    begin{tikzpicture}[scale=1.442515197749737655215] 
    draw[line width=1.42pt, ,smooth,samples=1300,domain=-.61851:6.92614618] plot(x,{x- ln(1+x*x) });
    draw[-> ] (-.8,0)--(7.2469,0) node[right]{$x$};
    draw[-> ] (0,-1.6)--(0,3.02914275) node[above]{$y$};
    draw[dashed](1,0)--(1,.304);
    draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(2.05pt);
    draw(1,-.341624) node {1};
    draw(5,-.341624) node {5};

    draw(-.7314205,.307061)node {$1-ln 2$};
    draw[dashed](1,0)--(1,0.3044);
    draw[fill=red, dashed, very thin](1,0.306852819440054690582767878541823431924499865639744745879) --(0, .306852819440054690582767878541823431924);
    draw(2.105314205,.98307061)node {$y=x-ln(x^2+1)$};


    draw[line width=.482pt, ,smooth,samples=1300,color=red, domain=-.61851:6.414618] plot(x,{0.61538*x-1.335});

    draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(1.5pt);
    draw[fill=red](5,1.74119 ) circle(2.05pt);
    draw[dashed, thin](5,0)--(5,1.74173044);
    draw[fill=red, dashed, very thin](5,1.749) --(0, 1.749);

    draw(-.7314205,1.74119)node {$1.7419$};


    end{tikzpicture}









    share|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I need to shade the region bounded by the curve, the tangent and the x axis. Could you help?



      begin{tikzpicture}[scale=1.442515197749737655215] 
      draw[line width=1.42pt, ,smooth,samples=1300,domain=-.61851:6.92614618] plot(x,{x- ln(1+x*x) });
      draw[-> ] (-.8,0)--(7.2469,0) node[right]{$x$};
      draw[-> ] (0,-1.6)--(0,3.02914275) node[above]{$y$};
      draw[dashed](1,0)--(1,.304);
      draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(2.05pt);
      draw(1,-.341624) node {1};
      draw(5,-.341624) node {5};

      draw(-.7314205,.307061)node {$1-ln 2$};
      draw[dashed](1,0)--(1,0.3044);
      draw[fill=red, dashed, very thin](1,0.306852819440054690582767878541823431924499865639744745879) --(0, .306852819440054690582767878541823431924);
      draw(2.105314205,.98307061)node {$y=x-ln(x^2+1)$};


      draw[line width=.482pt, ,smooth,samples=1300,color=red, domain=-.61851:6.414618] plot(x,{0.61538*x-1.335});

      draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(1.5pt);
      draw[fill=red](5,1.74119 ) circle(2.05pt);
      draw[dashed, thin](5,0)--(5,1.74173044);
      draw[fill=red, dashed, very thin](5,1.749) --(0, 1.749);

      draw(-.7314205,1.74119)node {$1.7419$};


      end{tikzpicture}









      share|improve this question













      I need to shade the region bounded by the curve, the tangent and the x axis. Could you help?



      begin{tikzpicture}[scale=1.442515197749737655215] 
      draw[line width=1.42pt, ,smooth,samples=1300,domain=-.61851:6.92614618] plot(x,{x- ln(1+x*x) });
      draw[-> ] (-.8,0)--(7.2469,0) node[right]{$x$};
      draw[-> ] (0,-1.6)--(0,3.02914275) node[above]{$y$};
      draw[dashed](1,0)--(1,.304);
      draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(2.05pt);
      draw(1,-.341624) node {1};
      draw(5,-.341624) node {5};

      draw(-.7314205,.307061)node {$1-ln 2$};
      draw[dashed](1,0)--(1,0.3044);
      draw[fill=red, dashed, very thin](1,0.306852819440054690582767878541823431924499865639744745879) --(0, .306852819440054690582767878541823431924);
      draw(2.105314205,.98307061)node {$y=x-ln(x^2+1)$};


      draw[line width=.482pt, ,smooth,samples=1300,color=red, domain=-.61851:6.414618] plot(x,{0.61538*x-1.335});

      draw[fill=red](1,0.306852819440054690582767878541823431924499865639744745879) circle(1.5pt);
      draw[fill=red](5,1.74119 ) circle(2.05pt);
      draw[dashed, thin](5,0)--(5,1.74173044);
      draw[fill=red, dashed, very thin](5,1.749) --(0, 1.749);

      draw(-.7314205,1.74119)node {$1.7419$};


      end{tikzpicture}






      tikz-pgf






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      asked 16 mins ago









      Thumbolt

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      1,208718



























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