I dont get what this integration method is? int (du/dx) f'(u)dx; example: int 3 x^5 e^{x^6} dx = (1/2)e^{x^6} + C

Pleebow

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I dont get what this integration method is? LIke what is going on? How is this rule being used?

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Was it not explained to you?

It's integration by substitution, which is based on the chain rule. Here are two lessons about it:
 
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