Answer:
base = e
Step-by-step explanation:
The general log function is defined as
.... (1)
where, a is the base of the log function.
The natural logarithm function is

It can be rewritten as
.... (2)
where, e is a constant or Euler's number is:
e ≈ 2.71828183
On comparing (1) and (2) we get

Therefore, the base of the natural logarithm function is e.
Answer:

Step-by-step explanation:
We know i×i=i^2 which has value of -1.
We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).
Also multiplying by i/i does not change the value of the fraction because i/i=1.
Numerator × i gives (-5+i)i=-5i+i^2=-5i-1
=-1-5i.
Denominator × i gives (2i)i=2i^2=-2.
So the simplified version of this fraction given is:

The last simplification come from me multiplying fraction by -1/-1.
So, the anti derivative= x^2 -.8x +C. Ignore C.
Plug in 2= 4-(2)(.8)=2.4
Plug in .4= .16-(.4)(.8)=-.16
2.4-(-.16)= 2.56