1.9.20 Integrate kx^n

A robotic arm's velocity $v (t)$ , in $ms−1\text{ms}^{-1}$ , at time $t\,$ seconds is modelled by the function

\frac{(4\sqrt{t} - 3)(t + 2)}{6\sqrt{t}}, \quad t > 0

Determine the general expression for the displacement, $s (t)$ , of the robotic arm, giving each term in its simplest form.

[4]

A robotic arm's velocity $v (t)$ , in $ms−1\text{ms}^{-1}$ , at time $t\,$ seconds is modelled by the function

\frac{(4\sqrt{t} - 3)(t + 2)}{6\sqrt{t}}, \quad t > 0

Determine the general expression for the displacement, $s (t)$ , of the robotic arm, giving each term in its simplest form.

[4]

1.9.20 Integrate kx^n Questions