Pick three of the following: 1) If a particle moves along a straight line with velocity v(t) = 3 - 8t2 + 15t, find both the net and total distance traveled from t = 0 to t = 5 seconds. 2) Find the area of the region between the x-axis and f(x) = x + sin x on [0, x]. 3) Evaluate the definite integral. [ (4x3 - 3x 2) dx 4) Find the indefinite integral. (1 + 4x4)2 dx(Take-home) QUIZ #3 MTH 263 113032022 - You may use any outside source you wish to consult, but you must write your own answers out by hand {or using LaTex or MSWord Equation Editor or something similar}. I All work is due to Mr. F by 5pm Tuesday, 124'13. o Late work will not be accepted. I DID NOT use the Canvas email function it is notoriously buggy. Use your student Gmail account. o Files must be in either .pdf or .jpeg or .jpg format. If you attempt to submit any other type of le, it will be sent back for reformatting