These are 3 part problem:

3. Use Partial Fraction Decomposition to evaluate the following integrals. (a) 5 (r - 3) (x + 1) (b ) 2r - 3 12 - 7:x + 12 7 (c) 1(x - 1) (d) :c +2 c(2 + 4) 1. The following fractions are written as improper rational functions. Rewrite them in terms of proper rational functions. (Note: I do not want you to do Partial Fraction Decomposition on these problems!) (a) 2.13 + 5x + 7 :2 + 2 (b) - 3x2 - 21 + 1 T - 4 5. Consider the integral (a) Why could we not use PFD to solve this integral? (b) While PFD cannot be used to evaluate this integral, the triangle method can be used. 1 We would first need to view it as (V I2 + 1 ) 1 de. Use the triangle method to evaluate this integral. (Hint: You will need the identity sin(20) = 2 sin(@) cos(#).)