Question

4.求不定积分 (3*4^x-5*3^x)/(4^x)dx .

Answer 1

∫[(3*4^x-5*3^x)/(4^x)]dx
= ∫[3 - 5*(3/4)^x]dx
= 3x - 5*(3/4)^x/ln(3/4) + C
= 3x + [5/(ln4-ln3)]*(3/4)^x + C