3
$\begingroup$

$$I = \int\limits_{t_a}^{t_b}{\left(\frac{d{x}}{d{t}}\right)^2 \mathbb dt}$$

$x_a = x(t_a)$ and $x_b = x(t_b)$

I haven't integrated anything like this since a long time. Lost my powers of integration.

How do I calculate $I$?

  • 1
    Take some examples of functions $x(t)$ and see what you get. Say, $x(t) = t^3$ or $x(t) = \sin(t)$.2011-07-09
  • 0
    Any additional information available?2011-07-09
  • 0
    $x$ is a straight line in 3D.2011-07-09

2 Answers 2