# calculus

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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 -

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 -

Hint:
get rid of the denominator

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

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

• calculus -

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