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Cat este integrala din (5x+3)^5 dx (utilizand functii compuse)?

Răspuns :

5x+3=y   5dx=dy dx=1/5dy
Integrala  devine
1/5·∫y^5dy=1/5·y^(5+1)/(5+1)=1/5·y^6/6 Revii  la  variabila  x
F(x)=1/5(5x+3)^6/6+C