Update textbook.fr.md

12.temporary_ins/40.classical-mechanics/40.n4/70.lagrangian-mechanics/07.coherence/textbook.fr.md

@@ -162,11 +162,11 @@ et de dérivées continues.
 <br>
 $`(uv)'=u'v+uv'`$   
 <br>
-$`\Longrightarrow\quad uv'=(uv)'-u'v`$   
+$`uv'=(uv)'-u'v`$   
 <br>
-$`\Longrightarrow\quad`$$`\displaystyle\int_{\alpha_2}^{\alpha_2} u(\alpha)\cdot\dfrac{dv}{d\alpha}\,d\alpha
-=\int_{\alpha=a}^{\alpha=b}\dfrac{d uv}{d\alpha}\,d\alpha
--\int_{\alpha=a}^{\alpha=b}\dfrac{d u}{d\alpha}\cdot v(\alpha)\,d\alpha`$
+$`\displaystyle\int_{\alpha_1}^{\alpha_2} u(\alpha)\cdot\dfrac{dv}{d\alpha}\,d\alpha
+=\int_{\alpha_1}^{\alpha_2}\dfrac{d uv}{d\alpha}\,d\alpha
+-\int_{\alpha_1}^{\alpha_2}\dfrac{d u}{d\alpha}\cdot v(\alpha)\,d\alpha`$
 </details>
 
 
@@ -183,6 +183,8 @@ $`\Longrightarrow\quad`$$`\displaystyle\int_{\alpha_2}^{\alpha_2} u(\alpha)\cdot
 
 
 
+
+
 ! *Collecte de petits éléments de cours :*
 !
 ! <details markdown=1>