Solve Velocity Function: Distance in 0-5 Interval

[azn1x6flame]

Hello, I need help on this following problem on velocity

Homework Statement

The velocity function (in meters per second) is given for a particle moving along a line.

v(t)=3t-11, 0 (greater than or equal to) t (greater than or equal to) 5

Find the distance (in meters) traveled by the particle during the given time interval

Homework Equations

v(t)=3t-11, 0 (greater than or equal to) t (greater than or equal to) 5

The Attempt at a Solution

I tried the following:
3(5)-11=4

But it isn't correct.

I know I have to find the anti-derivative of v(t).

How would I find t? Do I have to do the derivative of v(t) to find acceleration? Would that help me do this problem?

Can someone help me with this problem?

Thanks

Edit: I figured out this answer. Thanks.

 

[jbunniii]

What is a function x(t) whose derivative is v(t)?