IMPORTANT! MUST READ! It is extremely rare for a tutor on this website to answer a question I'm asking. Please pay close attention to the question. Also please be neat when you respond. I've uploaded a picture to go along with my question. Here is the question: There might be something I'm not understanding about writing equations for shapes. See how I came up with the equation for the shifted shape? That leaves me with an equation, that when I integrate over it, I get a different solution than when I integrate over the non-shifted shape. But they are the same shape so the integral should be the same, since the integral is the area. So I'm not sure if I'm doing something wrong with integrating or doing something wrong when writing equations for shapes. When I integrate over this shifted shape, do I leave the equation in the integral as 2t, then integrate from -4 to -3? And for writing equations for shapes I've been told that you find the slope, then set corresponding x(t) and t values in an equation with b, and then find b. But that doesn't seem to work here. Did I miss something in math class? Does that method I just mentioned only work for equations that are at t = 0?

* (t ) 2 FIVE STAR Find x ( ) m - 2 FIVE STAR. 4 FIVE STAR. this 3 OF 1- 3 124 + 0