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

## Answer This Question

## Related Questions

- calculus (please with steps and explanations) - consider the function f that is ...
- Calculus (urgent help) - consider the function f that is continuous on the ...
- calculus - consider the function f that is continuous on the interval [-5,5] and...
- Calculus II/III - A. Find the integral of the following function. Integral of (x...
- calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
- calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
- Calculus - Evaluate the definite integral of the transcendental function. the ...
- calculus solved - evaluate integral definite integral sign a=1 b=8 4(x^(2/3)+14...
- Calculus - 5) Evaluate the definite integral. On the integral from 1 to e^7 &#...
- Calculus - 5) Evaluate the definite integral. On the integral from 1 to e^7 &#...

More Related Questions