Can someone tell me why this integral is invalid?

  • #1
Hey guys,

Can someone tell me why this integral isn't valid?

∫ v Δp = pv + C
 

Answers and Replies

  • #2
34,017
5,672
Hey guys,

Can someone tell me why this integral isn't valid?

∫ v Δp = pv + C
You're treating v as if it were a constant.

This is valid:

$$ \int k~dx = kx + C$$

This is not:
$$ \int f(x)~dx = f(x) \cdot x + C$$
 
  • #3
296
0
Basically, [itex]\displaystyle \int y\,dx = yx + C \text{ iff }\frac{dy}{dx} = 0[/itex].
 
  • #4
34,017
5,672
Basically, [itex]\displaystyle \int y\,dx = yx + C \text{ iff }\frac{dy}{dx} = 0[/itex].
Which is the same as saying y is a constant.
 
  • #5
Ah I see. Thanks guys.
 

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