diff --git a/normalverteilung.ipynb b/normalverteilung.ipynb
index 0b62816941e1675f9182eb0c93aba6a8f0d03b00..b60b28dfeac606d8fce05b61c74baa63818b3a7f 100644
--- a/normalverteilung.ipynb
+++ b/normalverteilung.ipynb
@@ -38,7 +38,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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\n",
+      "image/png": "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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -119,7 +119,7 @@
     ":::\n",
     "\n",
     ":::{admonition} Beweis\n",
-    "Da auf der rechten Seite eine Quadratwurzel steht, bietet es sich an, beide Seiten der Gleichung zu quadrieren. Wir formen die linke Seite dann weiter um, bis wir ein Integral über $\\mathbb{R}^2$ in Polarkoordinaten transformieren können und dann leicht Stammfunktionen bestimmen können:\n",
+    "Da auf der rechten Seite eine Quadratwurzel steht, bietet es sich an, beide Seiten der Gleichung zu quadrieren. Wir formen die linke Seite dann weiter um, bis wir ein Integral über $\\mathbb{R}^2$ in Polarkoordinaten transformieren können und dann nach einer Substitution leicht Stammfunktionen bestimmen können:\n",
     "\n",
     "$$\n",
     "  & {\\left( \\int_{-\\infty}^\\infty e^{-\\frac{x^2}{2v}} dx \\right)}^2 \\\\\n",
@@ -129,11 +129,13 @@
     " =& \\int_{-\\infty}^\\infty {\\left( \\int_{-\\infty}^\\infty e^{-\\frac{x^2+y^2}{2v}} dy \\right)} dx \\\\\n",
     " =& \\int_{\\mathbb{R}^2} e^{-\\frac{x^2+y^2}{2v}} d(x,y) \\\\\n",
     " =& \\int_{0}^\\infty \\int_{0}^{2\\pi} r e^{-\\frac{r^2}{2v}} d\\phi dr \\\\\n",
-    " =& \\int_{0}^\\infty {\\left[  r e^{-\\frac{r^2}{2v}} \\phi \\right]}_{\\phi=0}^{\\phi=2\\pi} dr \\\\\n",
+    " =& \\int_{0}^\\infty r e^{-\\frac{r^2}{2v}}  \\int_{0}^{2\\pi} d\\phi dr \\\\\n",
+    " =& \\int_{0}^\\infty r e^{-\\frac{r^2}{2v}} [\\phi]_0^{2\\pi} dr \\\\\n",
     " =& \\int_{0}^\\infty r e^{-\\frac{r^2}{2v}} 2\\pi dr \\\\\n",
-    " =& -2\\pi \\int_{0}^{-\\infty} r e^{-\\frac{r^2}{2v}} dr \\\\\n",
+    " =& 2\\pi \\int_{0}^\\infty e^{-\\frac{r^2}{2v}} r dr \\\\\n",
+    " =& 2\\pi \\int_{0}^{-\\infty} e^u (-v)du \\\\\n",
     " =& 2\\pi v \\int_{-\\infty}^{0} e^u du \\\\\n",
-    " =& 2\\pi v {\\left[ e^u \\right]}_{-\\infty}^{0} \\\\\n",
+    " =& 2\\pi v [e^u]_{-\\infty}^{0} \\\\\n",
     " =& 2\\pi v \n",
     "$$\n",
     ":::"
@@ -175,7 +177,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]