1 . Find the partial fraction decomposition for the following rational functions: 3x+7 (a x2-1 6x3-x-1 (b) x3-x x*+5x3+x-15 x3+5x 2. Evaluate each of the following integrals, using a trigonometric substitution. Do not forget the back substitution. Solving using other methods is not acceptable. Solving using a formula is not acceptable. (a) SV1 - 36x2 dx /25-x2 b) dx (c) dx x2+49 3. Evaluate each of the following integrals: (a) So cost (5x) dx (b) f sec3 (5x )tan2(5x) dx (c) sin 6x sin 2xdx