Derivative of the function

1. May 8, 2008

jimen113

1. The problem statement, all variables and given/known data

the antiderivative for 5$$\sqrt{}x$$

2. Relevant equations

3. The attempt at a solution

It almost looks like the derivative of the function $$\sqrt{}x$$

2. May 8, 2008

Feldoh

$$\int 5\sqrt{x} = \int 5x^{1/2}$$

So just use the power rule for integrals.

3. May 8, 2008

jimen113

revised

the actual problem is:
Evaluate the definite integral $$\int^{7}_{1}$$ 5/$$\sqrt{}x$$
using the power rule I got:
5[(x^3/2)/(3/2)] evaluating them at the end points 1 and 7, the answer I get after using FTC II is:-58.400 and is incorrect.

4. May 8, 2008

Defennder

Do you mean $$\int_1^7 \frac{5}{\sqrt{x}} \ dx$$?

5. May 9, 2008

jimen113

Yes (to part one)
then how should I find the antiderivative? for 5/$$\sqrt{}x$$

6. May 9, 2008

Defennder

You must first find the antiderivate for $$x^{-\frac{1}{2}}$$. Use the power rule for integrals as Feldoh said.

7. May 9, 2008