Posted by
Paul on
.
Hello, I just wanted to verify this definite integral and if my answer is good:
a = 1 and b = 4
integral of
(1  1/x^2)(x^2 + 1/x) dx
= (x + 1/x)(x^3/3 + lnx) + C
(4 + 1/4)(64/3 + ln4)  (1 + 1)(1/3 + ln1)
= 96.56  0.6666 = 95.89
THank you

Calculus  Verification 
Damon,
I do not think so. Multiply out and integrate each term.

Calculus  Verification 
Damon,
(x^2 1 + 1/x 1/x^3)dx
x^2 dx  dx + dx/x  dx/x^3
x^3/3 etc

Calculus  Verification 
Damon,
integral a b dx is not integral a dx * integral b dx