1. (5 marks) Find the indefinite integral using the given substitution 23(2 +24)5 do, u= 2+24 2. (5 marks) Using the given substitution find the exact value of -4/T sec2 (1/x) d.r, u = 1/x. 13/T 3. (5 marks) Use integration by parts to find (22 + 1)e" da. 4. (5 marks) Use integration by parts to show that re" do = ret -n / x-let da, where n is a positive integer. 5. (5 marks) Using partial fractions calculate the indefinite integral c2 + 2x - de. 73 - x 6. (5 marks) Using partial fractions calculate x-1 dx. x2 + 3x + 2