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Fix limits of integration in Lesson 09 notebook #33

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Fix limits of integration in Lesson 09 notebook #33

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6 changes: 3 additions & 3 deletions content/Week_02/Lesson_09.ipynb
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Expand Up @@ -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",
Expand All @@ -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",
"$$∫^a_b f(x) dx=F(b)−F(a)$$"
"$$∫^b_a f(x) dx=F(b)−F(a)$$"
]
},
{
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