Hello, lds09!

Determine all constants a and b such that:

. . . . . . . . . . . . x

. . e^x . = . b + ∫ e^t dt

. . . . . . . . . . . .a

. . . . . . . . . . . . . . x

We have: .b + e^t ] .= .e^x

. . . . . . . . . . . . . . a

Then: .b + e^x - e^a .= .e^x . . → . . b - e^a .= .0 . . → . . b .= .e^a

Therefore,acan be any real number and b = e^a.