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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