## find the distance

Limits, differentiation, related rates, integration, trig integrals, etc.
junsta12
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### find the distance

1.) v(t)=sint, 0<=t<=5pi/4

<= (less than or equal to) *don't know how else to put*

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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1.) v(t)=sint, 0<=t<=5pi/4

<= (less than or equal to) *don't know how else to put*
Using "<=" for "less than or equal to" is standard web-safe notation. So that part is fine. But what are the instructions for the function you've posted? What are you supposed to be doing with it? What have you tried? How far have you gotten? Where are you stuck?

junsta12
Posts: 3
Joined: Sun Mar 02, 2014 5:50 pm
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### Re: find the distance

Find the total distance. I know you're suppose to take the absolute value of the function when it is negative and add to the positive. i split the integral into two, from 0 to 3pi/4 amd from 3pi/4 to 5pi/4. and solved but answer was wrong. i think i may have my limits of integration wrong when splitting into two.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
Find the total distance.
Find the total distance of what? Are you maybe saying that v(t), which usually stands for "velocity", is actually a position function of some sort, and you're needing to find the total distance travelled by something or other over some time frame (perhaps the interval noted)?
I know you're suppose to take the absolute value of the function when it is negative and add to the positive.
Are you maybe saying that you need to take the absolute value of something, perhaps then splitting one function into pieces, and then adding the results of whatever you're doing to the pieces? Or are you really adding two different functions, one of which is an absolute value?
i split the integral into two, from 0 to 3pi/4 amd from 3pi/4 to 5pi/4. and solved but answer was wrong. i think i may have my limits of integration wrong when splitting into two.
You split what integral into two? How did you define the integration limits? What did you get for your answer? On what basis do you think your answer is incorrect?

Please reply with the full and exact text of the exercise, the complete instructions, and a clear listing of your efforts so far, so we can tell what is going on. Thank you.