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 (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...
- 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...
- calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
- calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
- calculus - 8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the...
- Definite integral by parts (correction) - Hello, I just wanted to verify if my ...

More Related Questions