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Integrals - a stupid question

  1. Nov 2, 2004 #1
    if you have [tex]\int_frac{y}{x}=int_L[/tex], if you multiply the LHS by c within the integral, is L multiplied by c within its integral?
     
  2. jcsd
  3. Nov 2, 2004 #2

    chroot

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    Do you mean this?

    [tex]\int \frac{y}{x} = \int L[/tex]

    - Warren
     
  4. Nov 2, 2004 #3
    or are you talking about multiplying some constant with an integral ???

    - Marlon

    [tex] c * \int\frac {y}{x} = \int cL [/tex] ???
     
  5. Nov 3, 2004 #4
    Not a constant, another variable.
     
  6. Nov 3, 2004 #5

    HallsofIvy

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    If you mean "Is [itex]f(x)\int g(x)dx= \int f(x)g(x)dx [/itex]" the answer is no:
    [itex]x\int xdx= \frac{1}{2}x^3+ C[/itex] and [itex]\int x^2dx= \frac{1}{3}x^3+ C[/itex].

    I may be misunderstanding your question since if you are taking differential equations, you certainly should know calculus enough that that would be obvious.
     
  7. Nov 4, 2004 #6
    Stewart has a first order differential equation section in 2nd semester calculus.
     
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