Posted by Jay on Wednesday, January 21, 2009 at 1:44am.
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.
Hint:
get rid of the denominator
(4x^2 + 10)/(x^(1/2))
=4x^(3/2) + 10x^(-1/2)
glad we agree so far
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