10-16 4:26 PM 2022-10-16, 4:26 PM 7. Find the following indefinite integrals (show steps): (2 ) (323 + 5 +2') do ( b ) 5 + 2sin I di COS' I 8. A point P moves along the x-axis so that its position x at time t is given by I = 2t3 - 15t2 + 36t + 4. (a) Find the velocity and acceleration of P at time t.20 Question 8 continued (b) Determine each of the following: i. the time interval on which P moves to the right ii. the time interval on which P moves to the left iii. the acceleration when the velocity is zero iv. the average velocity over the time interval [0, 3] v. the acceleration at t - 2.5