posted by Jay on .
Evaluate the definite integral:
[4,8] (4x^2+10)/(x^(1/2)) dx
Been trying this for about 1 hour. Very frustrated, thank you.
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.
get rid of the denominator
(4x^2 + 10)/(x^(1/2))
=4x^(3/2) + 10x^(-1/2)
glad we agree so far