Finding C from a speed distribution function.

[Cantspel]

Homework Statement

Gas particles of a particular gas have a speed distribution function of

f_v = Cv/(v² +v_o²)²

a. Find the value of C

b. Calculate the most probable speed

c. What fractions of the particles are moving faster than the most probable speed

Homework Equations

The Attempt at a Solution

[/B]
For problem a I don't even know where to begin, I know that C is probably a form of v_o otherwise the function could end up being higher 1

I already got problem b by taking the derivative of the function and then setting it equal to 0
which got me

v = v_o/√3

For problem c what I believe what I need to do is take the definite integral of f*dv between v_o/√3 and infinity.

 

[Cantspel]

Forgot to mention that v_o and C are both constants.