feat: Uneigentliche Integrale berechnen

src/analysis/task4.py

@@ -0,0 +1,44 @@
+# %%
+# Init
+import IPython.display as dp
+import sympy as sp
+
+sp.init_printing()
+
+# Symbole
+x = sp.symbols("x")
+
+# Parameter
+funktionen = [
+    sp.E ** (-x),
+    2 ** (-x),
+    1 / x,
+    1 / (x**2),
+    1 / x,
+    1 / (x ** (1 / 2)),
+    sp.E ** (-sp.Abs(x)),
+    1 / (x**2),
+    1 / (1 + x**2),
+]
+
+intervalle = [
+    (x, 0, sp.oo),
+    (x, 0, sp.oo),
+    (x, 1, sp.oo),
+    (x, 1, sp.oo),
+    (x, 0, 1),
+    (x, 0, 1),
+    (x, -sp.oo, sp.oo),
+    (x, -sp.oo, sp.oo),
+    (x, -sp.oo, sp.oo),
+]
+
+# Berechnungen
+for f in zip(funktionen, intervalle):
+    symbolic_f = sp.Integral(f[0], f[1])
+    F = sp.integrate(f[0], f[1])
+
+    # Ausgabe
+    dp.display(symbolic_f)
+    dp.display(F)
+    print()