Simple Integral

  • #1
Hey, not really homework but I am just having a total mind blank and would be grateful if someone could help me.
[tex]\int\left(\frac{dx}{dt}\right)^{2}dt=?[/tex]
I even have the answer my brain is just refusing to play along though and I just can't picture how to work it out properly at the moment.
Thanks!
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,223
31
try writing it as

[tex]\int \frac{dx}{dt} \frac{dx}{dt} dt[/tex]


instead.
 
  • #3
try writing it as

[tex]\int \frac{dx}{dt} \frac{dx}{dt} dt[/tex]


instead.
Thanks for your reply.
In that case I don't have brain freeze I just don't know. I just want to cancel the dt's but then
I get
[tex]\int \frac{dx}{dt}dx[/tex]
which I don't know how to handle.
 
  • #4
Dick
Science Advisor
Homework Helper
26,263
619
It's not the sort of an expression where you can eliminate the t dependence. The answer depends on how x depends on t. E.g. if x(t)=t^2, then it's an easy elementary integral, if x(t)=e^(t^2), it's not an elementary integral.
 

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