Calculating % of molecules at given temperature with a given velocity

[r34p3rex]

Homework Statement

What percentage of molecules in water at 300K will have a speed greater than 1 km/s (evaluate numerically)?

Homework Equations

The Attempt at a Solution

Based on what we did in class, I take it I'm supposed to integrate the distribution from 1000 to infinity.

After moving the constants out of the integral, I'm left with this:

I know that

But how do I account for the fact that I'm only interested in the integral between 1000 and infinity?

 

[SammyS]

The instructions say to evaluate the answer numerically.

 

[r34p3rex]

The instructions say to evaluate the answer numerically.

I punched it into my calculator and after a few minutes of calculating, it tells me the integral is 0.

Am I doing something wrong?

 

[SammyS]

I punched it into my calculator and after a few minutes of calculating, it tells me the integral is 0.

Am I doing something wrong?

Probably something is being done wrong, or something is set wrong.