3. Techniques of Integration: Substitution, Long Division, Completing the Square) (a) Evaluate / (xe *2 ) dx (b) The function f is continuous and ( f(w) dw = 6. What is the value of / of(x2 - 1) da? o\f4. Areas Between Curves Find the exact area between y = 2 - and the y = T.5. Motion with Constant Acceleration The following is abridged from Harry Potter and the Deathly Hallows, JK Rowling: Harry saw Voldemort's green jet meet his own spell, saw the Elder Wand fly high, dark against the sunrise, spinning through the air toward the master it would not kill. And Harry, with the unerring skill of the Seeker, caught the wand in his free hand as Voldemort fell backward. Suppose that the initial velocity of the Elder Wand as it left Voldemort's had was 30ft/s, and that the wand was released and caught at the same height of 4 ft. (a) Write a formula for the vertical velocity and height of the wand from the floor. (b) How high did the wand go? (c) How long was the wand in the air