We see absolute value. The absolute value of two sine of e to the, I'll use x again just because it's easier to use on the calculator, and then I'll close the parentheses on, whoops, let me make sure I do this right. So let me close the parentheses on the sine, and then I have plus one, and then there you go, and then I'm integrating with respect to x approximately 12.573. Now let's do part d. I'll do it right over here, part d. For t between zero and six, the particle changes direction exactly once. Find the position of the particle at that time. So the way that I'm gonna tackle it is first I need to think about at what time does the particle change direction, and then I can figure out its position by taking the integral of the velocity function. So how do I think about where that particle changes direction?