Question

Need help on this problem. see attachment

Answer 1

@dumbcow

Answer 2

@mathslover

Answer 3

\[c \int\limits _0 ^\infty e^{-3x} dx = 1\]
\[-\frac{c}{3}|e^{-3x} _{0->\infty} = 1\]
\[-\frac{c}{3}(e^{-\infty} - e^{0}) = 1\]
\[c = 3\]

Answer 4

ohhhh improper integrals.

Answer 5

do I use the same function to get the f(1/2)-(f0)?

Answer 6

yes