Finding indefinite integral (2 ^ 2x) * e ^ x

Finding indefinite integral (2 ^ 2x) * e ^ x

The original formula = ∫ e ^ [ln (2 ^ 2x)] * e ^ xdx
=∫e^(2xln2)d(e^x)
=∫[(e^x)^(2ln2)]d(e^x)
=[1/(2ln2+1)]*(e^x)^(2ln2+1)+C