@@ -132,7 +132,7 @@ $$\huge \bf \int x^{\frac{2}{3}} \, dx$$
132132
133133<br >
134134
135- #### <p align =" center " > [ Integrating:] ( )
135+ ##### <p align =" center " > [ Integrating:] ( )
136136
137137 <br >
138138
@@ -156,55 +156,55 @@ $$\huge \bf \frac{x^{\frac{2}{3} + 1}}{\frac{2}{3} + 1} \rightarrow \frac{x^{\fr
156156$$ \huge \bf \int \frac{1}{x^3} \, dx $$
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158158
159- ### <p align =" center " > [ Solution of the integral:] ( ) ☟
159+ ##### <p align =" center " > [ Solution of the integral:] ( ) ☟
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161161$$ \huge \bf \int x^n \, dx = \frac{x^{n+1}}{n+1} + k $$
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163- ### <p align =" center " > [ Applying the rule to the given function:] ( ) ☟
163+ ##### <p align =" center " > [ Applying the rule to the given function:] ( ) ☟
164164
165165$$ \huge \bf \int x^{-3} \, dx = \frac{x^{-2}}{-2} + C = -\frac{1}{2x^2} + k $$
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167167
168- ### <p align =" center " > [ Solution of the integral:] ( ) ☟
168+ ##### <p align =" center " > [ Solution of the integral:] ( ) ☟
169169
170170$$ \huge \bf \frac{1}{2x^2} + k $$
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172- ### <p align =" center " > [ ** Final Result:** ] ( )
172+ ##### <p align =" center " > [ ** Final Result:** ] ( )
173173
174174$$ \huge \bf \int \frac{1}{x^3} \, dx = -\frac{1}{2x^2} + k $$
175175
176176
177- ## [ Exercicise D:] ( )
177+ ##### [ Exercicise D:] ( )
178178
179179 <br >
180180
181181$$ \huge \bf \int \frac{x^2 + x + 1}{\sqrt{x}} \, dx $$
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183183
184- ### <p align =" center " > 💡 [ ** Solution:** : We can integrate each term separately:] ( ) ☟
184+ ##### <p align =" center " > 💡 [ ** Solution:** : We can integrate each term separately:] ( ) ☟
185185
186186$$ \huge \bf \int \left(\frac{x^2}{\sqrt{x}} + \frac{x}{\sqrt{x}} + \frac{1}{\sqrt{x}}\right) \, dx $$
187187
188- ### <p align =" center " > [ This simplifies to:] ( ) ☟
188+ ##### <p align =" center " > [ This simplifies to:] ( ) ☟
189189
190190$$ \huge \bf \int \left(x^{\frac{3}{2}} + x^{\frac{1}{2}} + x^{-\frac{1}{2}}\right) \, dx $$
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192- ### <p align =" center " > [ Integrating each term:] ( ) ☟
192+ ##### <p align =" center " > [ Integrating each term:] ( ) ☟
193193
194194$$ \huge \bf \int x^{\frac{3}{2}} \, dx = \frac{2}{5}x^{\frac{5}{2}} $$
195195
196196$$ \huge \bf \int x^{\frac{1}{2}} \, dx = \frac{2}{3}x^{\frac{3}{2}} $$
197197
198198$$ \huge \bf \int x^{-\frac{1}{2}} \, dx = 2x^{\frac{1}{2}} $$
199199
200- ### <p align =" center " > [ ** Final Result:** ] ( )
200+ ##### <p align =" center " > [ ** Final Result:** ] ( )
201201
202202$$ \huge \bf \int \frac{x^2 + x + 1}{\sqrt{x}} \, dx = \frac{2}{5}x^{\frac{5}{2}} + \frac{2}{3}x^{\frac{3}{2}} + 2x^{\frac{1}{2}} + k $$
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204204
205- #
205+ < br >
206206
207- ### [ Contribute] ( )
207+ ## [ Contribute] ( )
208208
209209Contributions are welcome! If you want to add more examples, correct errors, or improve the documentation, please submit a pull request. Let's learn and grow together on the journey of integral calculus.
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