1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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


    User Avatar
    Science Advisor

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook