(e^2x+1)/e^x dxintegrate by substitution method

intg (e^2x+1)/e^x dx

Let t =
e^x

==> dt = e^x dx = tdx ==> dx =
dt/t

==> intg (e^2x+ 1)/e^x) dx = intg (t^2 + 1)/t *
dt/t

                                             = intg
(t^2 + 1)/t^2
dt

                                              = intg (1
+ 1/t^2) dt

                                             =
intg (1+ t^-2)
dt

                                            = t - t^-1 +
c

                                              = e^x -
e^-x + c