I'm working on corrections for a test and would please like some help. Please excuse my attempts at solving it.

Problem Two

Problem Two (4 pts each) 1. Compute 3x - 2 dx x2 + x -6" 3 x - 2 / x 2 + 3 x-2 / X- 6 3 x - 2 [ 3 * 3 ] + 3 x - 2 [2 x 2-67 3 x- 2 ( 3 x3 + 2 x 2- 6) * + 2x3-18x- 3x3-x2+12 * " + 5x 3 - x2-18x+ 12 + C 2. Compute 3x2 - 2 dx 2:2 - x - 2 3 x 2 2 / x 2 + 3 x 2 2)-X-2 3 x 2 - 2 [ 3 x 3 - 2 x 2- 2] x 5- 2 x- 6x2 - 2x3+x2+4 X5-2x9- 3x3-5x2+4 + C 3. Write the partial fraction decomposition for the following integral. Do NOT compute the coefficients of your decomposition, but justify each term in your decomposition (repeated, non-repeated, linear, quadratic, etc...) 224 - 5 12 = 73 (12 + 4 ) (2 2 + 3) 2 (71 - 2) dx Justification for EACH term: Ax 4 Bx C DX Ex - 5 FX " - 5 12 = X 4 x 3 x 43 x- + 3 17 x - 2 dr cs Scanned with CamScanner