∫2^x e^x dx
= ∫2^xde^x
=2^xe^x-∫e^xd2^x
=2^xe^x-∫e^xln2*2^xdx
=2^xe^x-ln2∫2^xe^xdx
∫2^x e^x dx=2^xe^x-ln2∫2^xe^xdx
(1+ln2)∫2^x e^x dx=2^xe^x
∫2^x e^x dx=2^xe^x/(1+ln2)+C
∫2^x e^x dx
= ∫2^xde^x
=2^xe^x-∫e^xd2^x
=2^xe^x-∫e^xln2*2^xdx
=2^xe^x-ln2∫2^xe^xdx
∫2^x e^x dx=2^xe^x-ln2∫2^xe^xdx
(1+ln2)∫2^x e^x dx=2^xe^x
∫2^x e^x dx=2^xe^x/(1+ln2)+C