From fe0be90f2f08d49de3df503c8749e6cdda852826 Mon Sep 17 00:00:00 2001
From: TiagoRG <35657250+TiagoRG@users.noreply.github.com>
Date: Mon, 16 Jan 2023 12:17:32 +0000
Subject: [PATCH] FP: Aula09 - Ex9 added

---
 1ano/fp/aula09/integrate.py | 28 ++++++++++++++++++++++++++++
 1 file changed, 28 insertions(+)
 create mode 100644 1ano/fp/aula09/integrate.py

diff --git a/1ano/fp/aula09/integrate.py b/1ano/fp/aula09/integrate.py
new file mode 100644
index 0000000..7101390
--- /dev/null
+++ b/1ano/fp/aula09/integrate.py
@@ -0,0 +1,28 @@
+import sys
+import math
+
+
+def integrate(f, a, b, n):
+    """The integral of f(x) for x between a and b.
+    Aproximated using the trapezoidal rule with n uniform subintervals."""
+    assert n >= 1
+    return ((b - a) / 2 * n * (f(a) + sum(2 * f(a + (b - a) * i / n) for i in range(1, n)) + f(a + (b - a)))) / (n ** 2)
+
+
+def example(n):
+    a = integrate(lambda x: (x - 2) / (x + 3), 0, 1, n)
+    return a
+
+
+# You may define auxiliary functions here.
+
+
+# Do not change the code below!
+def evalPrint(expression):
+    # Evaluate and print an expression and its result.
+    result = eval(expression)
+    print("{}\n--> {!r}".format(expression, result))
+
+
+if __name__ == "__main__":
+    evalPrint(" ".join(sys.argv[1:]))