Try to determine whether the following integrals converges or diverges. Try your best for now on these. sin (x) 1 . dx (Hint. What's the behavior of sin(x) x near x = 0 ?) 0 . ac x + sin(x) 2 . da (Try to guess what the behavior of the integrand near x = 0 , later 0 203 + 2x2 when we learn about Taylor series this will be more clear.) x + sin(x) 3 . 203 + 2x2