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Derivadas de integrales
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Derivadas de integrales
1.
∫xdx/(1-x²)= -½∫(1-x²)-²(-2)xdx V=1-x² DV=-2xdx ̸ =
-½ (1-x²)/1+c =½(1-x²)¯ⁱ4c
2.
∫x² xⁱ-1dx ⅓∫(xⁱ-1)½ 3x²dx V=xⁱ-1 DV=3x²dx
/= ⅓ (xⁱ-1)ⁱ'² 3/2+c =2/9=(xⁱ-1)ⁱ’²+c
3.
∫x⁴dx/x⁵-3= ⅕∫(x⁵-3)¯⅟² 5x⁴dx= ⅕(x⁵-3) ⅟²
+c = 2/5√x⁵-3+c
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