Posted by Paul on Tuesday, August 7, 2012 at 5:53pm.
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, Tuesday, August 7, 2012 at 6:06pm
I do not think so. Multiply out and integrate each term.

Calculus  Verification  Damon, Tuesday, August 7, 2012 at 6:07pm
(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, Tuesday, August 7, 2012 at 6:08pm
integral a b dx is not integral a dx * integral b dx
Answer This Question
Related Questions
 calculus  how do you determine the convergence of : definite integral from 1&...
 calculus (please with steps and explanations)  consider the function f that is ...
 Calculus (urgent help)  consider the function f that is continuous on the ...
 calculus  consider the function f that is continuous on the interval [5,5] and...
 Calculus  I don't know if I did these problems correctly. Can you check them? ...
 Calculus  5) Evaluate the definite integral. On the integral from 1 to e^7 &#...
 Calculus  5) Evaluate the definite integral. On the integral from 1 to e^7 &#...
 Calc  If we know that the definite integral from 6 to 3 of f(x) equals 6, the...
 Calculus  Can someone explain to me how to do these? Given the following ...
 definite integral  Use the Riemann Sums corresponding to 5 inscribed rectangles...
More Related Questions