=-(5/ln2).2^x +∫ 2^x.e^x dx

=-(5/ln2).2^x +2^x . e^x/( 1+ln2)+c

think

* 2^x.e^x dx

=∫ 2^x de^x

=2^x。 e^x-LN2 * 2^x.e^x dx

( 1+ln2) ∫ 2^x.e^x dx = 2^x . e^x

∫2^x.e^x dx = 2^x . e^x/( 1+ln2)+c