1. Find the following integrals. x+1 1. J dx x2 + 3x +2 x3+1 2. J dx 13 - x2 2. Find the following improper integrals. 1. foo dx x ( Inx) 3 2. J xe x2 dx 3. 12- dx V3 - x 3. Find the solution of the differential equation that satisfies the given initial conditions. 1. yy = x sin x, y(0) = - 1 2. y tan x = y + 8, y( 1/3) = 8, 0