CPM Homework Help : APCALC Problem 10-59

As Miranda drives her car, her acceleration is $a(t) = te^{2t}$ . What is her average acceleration over $0 ≤ t ≤ 2$ seconds?

Step:

$a_{\text{avg}}=\frac{1}{2-0}\int_0^2 te^{2t}dt$

Hint:

Use integration by parts. Let $f = t$ and $dg = e^{2t}$ .