Integration by Parts: What's the Sign of that Last Term?

AI Thread Summary
The integration by parts formula is expressed as ∫u dv = uv - ∫v du, indicating that the last term has a negative sign. This formula is derived from the product rule for differentiation, d(u * v) = u dv + v du. By integrating both sides and rearranging, the integration by parts formula is established. The discussion emphasizes the connection between differentiation and integration in this context. Understanding this relationship is crucial for correctly applying the integration by parts technique.
tandoorichicken
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I forgot a little detail in the integration by parts formula
Is it \int u \,dv = uv + or - \int v \,du
I don't remember if its plus or minus...
 
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Just remember that the integration by parts formula is deriviable from the formula for the product of a deriviatives.

d(u * v) = u * dv + v * du.

Now integrate both sides subtract int(v *du). Isn't math woinderful :-)
 
Just remember that the integration by parts formula is deriviable from the formula for the product of a deriviatives.

d(u * v) = u * dv + v * du.

Now integrate both sides subtract int(v *du). Isn't math woinderful :-)
 

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