[積分?] 一題連續複利題目

[vu3cj0su3 ( )]

Suppose that a company expects its annual profits t years from now

to be f(t) dollars and that interest is considerd to be compounded

continuously at an annual rate r.Prove that the present value of all
                                   ∞
future profits can be shown to be ∫ e^(-rt)*f(t) dt
                                   0

毫無頭緒的一題  麻煩大家啦

感謝~


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推 GayerDior:∞
→ GayerDior:∫ e^(-rt)*f(t) dt = L[f(t)]
→ GayerDior:0
推 vu3cj0su3:原來是鼎鼎大名的Laplace transform
→ vu3cj0su3:可是我們現在還在念初微 =.= 囧