I have a real problem here. It's from Stewart's Early Transcendental's 5th Edition. Section 8.3 problem 33. I'm studying from this book as a hobby. I'm just trying to solve for M sub x. The formula is density times the integral from -1 to +1 of the function 1/2(2-2x)^2 dx. The solutions manual acts like it's an even symmetrical function and converts it to

2*density integral from 0 to +1 of the same function. I cant see how that function is an even function. But even if I try to solve it without calling it an even function I cant match the book's answer. I cant find this problem anywhere on the web and I dont know how to draw it here. I'm hoping that someone out there has this book and understands this problem. Thanks