Problem 1. (1 point) Note: You can get full credit for this problem by just entering the final answer (to the last question) correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the indefinite integral 5x3 + 2x2 + 2x - 3 dx x2 - 1 Then the integrand decomposes into the form ax +b+ C d + x+1 where a= b= C= d = Integrating term by term, we obtain that 5x3 + 2x2 + 2x - 3 dx = x2 - 1 +C Problem 2. (1 point) Find the partial fraction decomposition for the following rational expression. 6 - (712 + 41) A B C (t+4)(1 - 1)(1-2) 1 1+4 t - 1 - 2 Answer: A = - B = and C = _ Using the partial fraction decomposition above, evaluate the inte- gral 6 - (7+2 + 41) (t + 4) (1 - 1)(1-2)" -dt