Posted by **Jay** on Wednesday, January 21, 2009 at 1:44am.

Evaluate the definite integral:

[4,8] (4x^2+10)/(x^(1/2)) dx

Been trying this for about 1 hour. Very frustrated, thank you.

- calculus -
**drwls**, Wednesday, January 21, 2009 at 1:53am
The integrand is the sum of two terms,

4 x^(3/2) + 10 x^(-1/2)

Integrate them separately and add the results. The indefinite integral is

(8/5) x^(5/2) + 20 x^(1/2)

Evaluate that at x=8 and subtract the value of the same function at x = 4.

- calculus -
**Quidditch**, Wednesday, January 21, 2009 at 1:59am
Hint:

get rid of the denominator

(4x^2 + 10)/(x^(1/2))

=4x^(3/2) + 10x^(-1/2)

- calculus -
**drwls**, Wednesday, January 21, 2009 at 2:11am
glad we agree so far

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