diff --git a/README.md b/README.md index 9c4acde..206393a 100644 --- a/README.md +++ b/README.md @@ -59,25 +59,24 @@ The exercises solved in this repository cover indefinite integrals and are prese Below are the exercises solved in this repository. They have been written in LaTeX to ensure a clear and precise presentation. Feel free to use and improve the code as needed. -### [Exercises: Find the following integrals]() ☟ +### [Exercises: Find the following integrals]() 👇 -## [Exercicise A:]() +### [Exercicise A:]() -
${\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx}$ -
-- 💡 [**Solution:**: We can integrate each term separately:]() +☟ [**Solution:**: We can integrate each term separately:]() -
$\huge \bf \int x^{\frac{3}{2}} \, dx + \int 2x \, dx + \int 1 \, dx$ -

+

────────────── ✦ ────────────── -- [**1st:**]() ☞ $\huge \bf \int x^{\frac{3}{2}} dx$ +☟ [**1st:**]() + +$\huge \bf \int x^{\frac{3}{2}} dx$
@@ -85,7 +84,7 @@ $$\huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\fr

-- [**2st:**]() ☞ $\huge \bf \int 2x dx\$ +☟ [**2st:**]() ☞ $\huge \bf \int 2x dx\$
@@ -93,34 +92,30 @@ $$\huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\fr

-- [**3st:**]() ☞ $\huge \bf \int 1 dx$ - -
+ ☟ [**3st:**]() + + $\huge \bf \int 1 dx$

The indefinite integral of \(1\) with respect to \(x\) is given by: -
-$$\huge \bf \int 1 \, dx \rightarrow x + k$$ +$\huge \bf \int 1 \, dx \rightarrow x + k$ -

where \(k\) is the constant of integration. -$$\huge \bf \ x + k$$ +$\huge \bf \ x + k$ -
-###

[**Final Result:**]() +☟ [**Final Result:**]() -
$$\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx \rightarrow \frac{2}{5}x^{\frac{5}{2}} + x^2 + x + k$$ -
+# -## [Exercicise B:]() +### [Exercicise B:]() $$\huge \bf \int \sqrt[3]{x^2} \, dx$$