Evaluate the indefinite integral using substitution for: 3^x.



Let u = 

ln(u) = ln()

ln(u) = x·ln(3)

Take the differential of both sides, remembering that ln(3) is a constant:

 = ln(3)·dx

Solve for dx by dividing both sides by ln(3)

 = dx

Substitute u for  and  for dx:

 =  =  =  =  =  = u + C = u + C =  + C =  + C

Edwin