### Home > APCALC > Chapter 10 > Lesson 10.1.5 > Problem10-59

10-59.

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

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

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