From 642ff3ed98cd261eb7eeefd695ad84f32f9e10ea Mon Sep 17 00:00:00 2001
From: Lucas Saito <38838766+lucsaito@users.noreply.github.com>
Date: Mon, 11 May 2026 00:28:35 -0300
Subject: [PATCH] Fix limits of integration in Lesson 09 notebook

---
 content/Week_02/Lesson_09.ipynb | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/content/Week_02/Lesson_09.ipynb b/content/Week_02/Lesson_09.ipynb
index 7158c88..49e73fd 100644
--- a/content/Week_02/Lesson_09.ipynb
+++ b/content/Week_02/Lesson_09.ipynb
@@ -31,7 +31,7 @@
     "\n",
     "-   **Definite Integrals:** Compute the accumulation of a quantity, such as the area under a curve from point `a` to point `b`. Mathematically, the definite integral of a function `f(x)` from `a` to `b` is denoted as:\n",
     "    \n",
-    "$$∫^a_b f(x) dx$$\n",
+    "$$∫^b_a f(x) dx$$\n",
     "    \n",
     "-   **Indefinite Integrals (Antiderivatives):** Represent a family of functions whose derivatives give the original function. An indefinite integral of a function `f(x)` is represented as:\n",
     "    \n",
@@ -47,11 +47,11 @@
     "\n",
     "-   **First Fundamental Theorem:** Connects differentiation and integration, asserting that if `f` is continuous on `[a, b]` and `F` is the indefinite integral of `f` on `[a, b]`, then:\n",
     "    \n",
-    " $$F(b)−F(a)=∫^a_bf(x) dxF(b)−F(a)=∫^a_b​f(x)dx$$\n",
+    " $$F(b)−F(a)=∫^b_af(x) dxF(b)−F(a)=∫^b_a​f(x)dx$$\n",
     "    \n",
     "-   **Second Fundamental Theorem:** Enables the evaluation of definite integrals by knowing an antiderivative of the function. If `F` is an antiderivative of continuous `f` on `[a, b]`, then:\n",
     "    \n",
-    "$$∫^a_b f(x) dx=F(b)−F(a)$$"
+    "$$∫^b_a f(x) dx=F(b)−F(a)$$"
    ]
   },
   {