Integrate the following part 2

integrate symbol e^xsin(e^x)dx

u = e^(x)
du = e^(x) * dx

e^(x) * sin(e^(x)) * dx =>
sin(u) * du

Integrate:

-cos(u) + C =>
C - cos(e^x)

u=e^x
du=e^x
sin(u)du = -cos(u) = -cos(e^x)+c

the symobol