1. Consider this integral. (4) S dx (13)(x+4)(x-5)(x-3x+9) Write the form of the partial fraction decomposition for this rational function, using unknowns in the numerators. (Do no proceed further -- you don't need to calculate the unknown numerators. I just want to see the form.) 2. Calculate this integral. (8) S dx -36 3. Identify the points where this parametric curve has a vertical tangent or a horizontal tangent. (6) (t)-(-4+2 t = [0, 0) 4. Calculate the mean of this probability distribution. (6) p(x) = 3 x+8x-12) 32 x = [2,6]