QUIZ # > Problems 1. Find the partial fraction decomposition for the rational function 2x - X+4 2. Use the partial fraction decomposition of the functions to evaluate the integral X+5 (x - 1)(x+ 2) Solving using a formula is not acceptable. 3. Evaluate each of the following integrals, using a trigonometric substitution. Do not forget the back substitution. Solutions using other methods are not acceptable (a) 1 (b x 416-x (C) 4. First complete the square, make the appropriate substitutions, and then evaluate the integral: 1 5. Evaluate each of the following integrals, using the given substitution or identity. Solutions using other methods are not acceptable. cos' xsin xox (substitution I - sinx) tan * xsec* xox (substitution w - tan x) (C) sin(5x ) sin(3x )car isin( 4) sin(B) - =[cos(4 - B) - cos(4 + By10) (d) | cos( ox ) cos( 4x )air (cos(4) cos(B) - =[cos(4 - B) + cos(4 + B)])