@@ -63,40 +63,37 @@ Below are the exercises solved in this repository. They have been written in LaT
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6464### [ Exercicise A:] ( )
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66+ ${\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx}$
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67- ${\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx}$
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69-
70- ☟ [ ** Solution:** : We can integrate each term separately:] ( )
69+ [ ** Solution:** : We can integrate each term separately:] ( ) ☟
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7372$\huge \bf \int x^{\frac{3}{2}} \, dx + \int 2x \, dx + \int 1 \, dx$
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76- ☟ [ ** 1st:** ] ( )
75+ [ ** 1st:** ] ( ) ☟
7776
7877$\huge \bf \int x^{\frac{3}{2}} dx$
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80- <br >
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82- $$ \huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\frac{5}{2}}}{\frac{5}{2}} \rightarrow \frac{2}{5}x^{\frac{5}{2}} $$
80+ $\huge \bf \frac{x^{\frac{3}{2} + 1}}{\frac{3}{2} + 1} \rightarrow \frac{x^{\frac{5}{2}}}{\frac{5}{2}} \rightarrow \frac{2}{5}x^{\frac{5}{2}}$
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84- <br >< br >
82+ <br >
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86- ☟ [ ** 2st:** ] ( ) ☞ $\huge \bf \int 2x dx \$
84+ [ ** 2st:** ] ( ) ☟
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88- < br >
86+ $\huge \bf \int 2x dx \$
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90- $$ \huge \bf \frac{x^{1+1}}{1+1} \rightarrow 2 \cdot \frac{x^2}{2} \rightarrow x^2 $ $
88+ $ \huge \bf \frac{x^{1+1}}{1+1} \rightarrow 2 \cdot \frac{x^2}{2} \rightarrow x^2$
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92- <br >< br >
90+ <br >
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94- ☟ [ ** 3st:** ] ( )
92+ [ ** 3st:** ] ( ) ☟
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96- $\huge \bf \int 1 dx$
97-
98- <p align =" center " > The indefinite integral of \(1\) with respect to \(x\) is given by:
94+ $\huge \bf \int 1 dx$
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96+ The indefinite integral of \( 1\) with respect to \( x\) is given by: ☟
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10198$\huge \bf \int 1 \, dx \rightarrow x + k$
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@@ -106,11 +103,9 @@ $\huge \bf \int 1 \, dx \rightarrow x + k$
106103$\huge \bf \ x + k$
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109- ☟ [ ** Final Result:** ] ( )
110-
111-
112- $$ \huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx \rightarrow \frac{2}{5}x^{\frac{5}{2}} + x^2 + x + k $$
106+ [ ** Final Result:** ] ( ) ☟
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108+ $\huge \bf \int \left(x^{\frac{3}{2}} + 2x + 1\right) \, dx \rightarrow \frac{2}{5}x^{\frac{5}{2}} + x^2 + x + k$
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115110#
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