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The integration by parts formula takes the form:

int(uv') = uv - int(vu') 

where v' = dv/dx and u' = du/dx

A lot of the art of using the integration by part...

Choose from:

- layers of ostinati (repetitive and distinctive rhythms) 

- diatonic harmony and melody 

- repetitive interlocking phrases

- gradual changes 

You should look out for: 

Dynamics to convey emotion of a character - forte  (loud)  to convey agression, piano (soft) to convey timidness, crescendos (gradually getting loud) to build tension...

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