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33 changes: 14 additions & 19 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -63,40 +63,37 @@ Below are the exercises solved in this repository. They have been written in LaT

### [Exercicise A:]()

${\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx}$

${\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx}$


☟ [**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:**]()
[**1st:**]()

$\huge \bf \int x^{\frac{3}{2}} dx$

<br>

$$\huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\frac{5}{2}}}{\frac{5}{2}} \rightarrow \frac{2}{5}x^{\frac{5}{2}}$$
$\huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\frac{5}{2}}}{\frac{5}{2}} \rightarrow \frac{2}{5}x^{\frac{5}{2}}$

<br><br>
<br>

[**2st:**]() ☞ $\huge \bf \int 2x dx\$
[**2st:**]()

<br>
$\huge \bf \int 2x dx\$

$$\huge \bf \frac{x^{1+1}}{1+1} \rightarrow 2 \cdot \frac{x^2}{2} \rightarrow x^2$$
$\huge \bf \frac{x^{1+1}}{1+1} \rightarrow 2 \cdot \frac{x^2}{2} \rightarrow x^2$

<br><br>
<br>

[**3st:**]()
[**3st:**]()

$\huge \bf \int 1 dx$

<p align="center"> The indefinite integral of \(1\) with respect to \(x\) is given by:
$\huge \bf \int 1 dx$

The indefinite integral of \(1\) with respect to \(x\) is given by: ☟

$\huge \bf \int 1 \, dx \rightarrow x + k$

Expand All @@ -106,11 +103,9 @@ $\huge \bf \int 1 \, dx \rightarrow x + k$
$\huge \bf \ x + k$


☟ [**Final Result:**]()


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

$\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx \rightarrow \frac{2}{5}x^{\frac{5}{2}} + x^2 + x + k$

#

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