Added more information to introduction to Numerical Integration.

tommytwoeyes · Feb 22, 2016 · e7d1fc6 · e7d1fc6
1 parent d6bfacc
commit e7d1fc6
Show file tree

Hide file tree

Showing 2 changed files with 6 additions and 2 deletions.
diff --git a/07_Integration_Techniques/.ipynb_checkpoints/Approximate_Integration-checkpoint.ipynb b/07_Integration_Techniques/.ipynb_checkpoints/Approximate_Integration-checkpoint.ipynb
@@ -14,7 +14,9 @@
     "\n",
     "You can _approximate_ definite integrals using simple, arithmetic methods similar to __Riemann Sums.__\n",
     "\n",
-    "Essentially, these methods provide approximate values of the area under a curve between two endpoints (the limits of integration).\n",
+    "Essentially, _these methods provide an approximate value for the area under a curve between two endpoints_ (the limits of integration). The methods work on any type of functions, regardless of whether or not an antiderivative of the function can be found.\n",
+    "\n",
+    "In many scenarios in science &amp; engineering, the resulting approximations are close enough to fulfill project requirements. Additionally, methods exist for controlling the accuracy of/error in the resulting approximate values.\n",
     "\n",
     "#### Examples\n",
     "These functions cannot be integrated using the techniques of integration we've learned:\n",

diff --git a/07_Integration_Techniques/Approximate_Integration.ipynb b/07_Integration_Techniques/Approximate_Integration.ipynb
@@ -14,7 +14,9 @@
     "\n",
     "You can _approximate_ definite integrals using simple, arithmetic methods similar to __Riemann Sums.__\n",
     "\n",
-    "Essentially, these methods provide approximate values of the area under a curve between two endpoints (the limits of integration).\n",
+    "Essentially, _these methods provide an approximate value for the area under a curve between two endpoints_ (the limits of integration). The methods work on any type of functions, regardless of whether or not an antiderivative of the function can be found.\n",
+    "\n",
+    "In many scenarios in science &amp; engineering, the resulting approximations are close enough to fulfill project requirements. Additionally, methods exist for controlling the accuracy of/error in the resulting approximate values.\n",
     "\n",
     "#### Examples\n",
     "These functions cannot be integrated using the techniques of integration we've learned:\n",