Find integral of e^(4x) dx

let u = 4x,

then du = 4 dx ...so dx = du/4

so you want integral of (1/4) e^u du

so (1/4) e^u + C for some arbitrary constant C

or (1/4) e^(4x) + C

hope that helps

(1/4)e^(4x)+C

1/4e^(4x)

(e^4x)/4 + constant