MTH 252H Study Guide - Quiz Guide: Units Of Paper Quantity
11 Oct 2018
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Justi cation includes mathematical work as well as verbal explanations. For multiple choice questions you get 1pt for the correct answer and up to 4pts for the explanation. (5pts) problem 1: F (x) = (cid:90) 4 e t tan(t + 1) dt. 3x2: e x sec2(x + 1) e x tan(x + 1, e 3x2 tan(3x2 + 1, e 3x2 tan(3x2 + 1)(6x, e 3x2 tan(3x2 + 1) + e 4 tan(4 + 1, none of these is correct. Solution: to di erentiate an area function de ned in terms of integral, the ftc re- quires that the variable be in the upper-limit of the integral. In reversing the limits of integration we ip the sign of the integral (cid:90) 3x2. F (x) = e t tan(t + 1) dt. Now we may di erentiate using the ftc, but we must also remember to use the chain. = 6x, (c) is the correct answer. (5pts) problem 2:
