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Integral(F(x) homework

  • Thread starter Hypercase
  • Start date
  • #1
62
0
L,p,q,r are constants

F(x) = p + qx + rx^2
F(L) = 0
F(0) = (1.5/L) * Integral(F(x), from 0 to L)

show, F(x) = F(0) *(1-(x/L)^2)

I, have made several attempts, and I am not sure what to do.
I have determined
p = -qL - rL^2
and
p = -1.5qL - rL^2


how do i proceed?
-cheers
 

Answers and Replies

  • #2
cristo
Staff Emeritus
Science Advisor
8,056
72
Well firstly I would evaluate F(0) [i.e. compute the integral]. Then see if you can show that the statement holds.
 
  • #3
62
0
evaluate F(0) [i.e. compute the integral]
I have done that, and ended up with

p = -1.5qL - rL^2,
that hasnt help and i dont know how to proceed.
 

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