# Math Help - May I ask one thing about a integration question?

Hi all

I am sorry to bother you.
Could you help me to solve this problem?

Question) particle's moves in a straight line, whose velocity can be modelled by the
following function
v(t) = tsin(t):
Find the distance s, covered by the particle from time t = 0 to t = 2 pie. Sketch
the graph for v(t) over the domain [0, 2 pi], and display what the value of s
represents on your sketch. Hint: recall s(t) = v(t), also think about the sign
of the function v(t) for t > pi.

My answer is that I need to find first the integration of xsin(x)dx which is sin(x)-xcos(x). Then, I put 2 pi into x. I can get -2 pi ?
Then, I have no idea..

Thanks a lot.

2. ## Re: May I ask one thing about a integration question?

Originally Posted by yanirose
Hi all

I am sorry to bother you.
Could you help me to solve this problem?

Question) particle's moves in a straight line, whose velocity can be modelled by the
following function
v(t) = tsin(t):
Find the distance s, covered by the particle from time t = 0 to t = 2 pie. Sketch
the graph for v(t) over the domain [0, 2 pi], and display what the value of s
represents on your sketch. Hint: recall s(t) = v(t), also think about the sign
of the function v(t) for t > pi.

My answer is that I need to find first the integration of xsin(x)dx which is sin(x)-xcos(x). Then, I put 2 pi into x. I can get -2 pi ?
Then, I have no idea..