Are you saying that I should only consider the (x-5) and (x-1) roots? Would that then result in the answer being 1/6? Why would I not consider the negative root? :S
I know this relation exists:
∫dx⋅f(x)⋅δ(ax+b) = 1/|a|⋅f(-a-1b). (sorry for the formatting) (limits ±∞ again)
Which I understand...
Homework Statement
∫δ(x3 - 4x2- 7x +10)dx. Between ±∞.
Homework EquationsThe Attempt at a Solution
Well I don't really know how to attempt this. In the case where inside the delta function there is simply 2x, or 5x, I know the answer would be 1/2 or 1/5. Or for say δ(x^2-5), the answer would...
Homework Statement
By applying Parseval's (Plancherel's) theorem to the function are given by:
f(x) = -1 for -2 ≤ x < 0
1 for 0 ≥ x < 2
0 otherwise
determine the value of the following integral.
∫ dk sin^4(k)/(k^2) (Integral between ±infinity)
Homework Equations...