Workshop 1 - Math 152' 2 Problem 1: Students were given the integral / 2xx/5w 1 dye to evaluate, You will see three "rst." steps that are incorrect. For each of the incorrect steps, (1) identify what the student did incorrectly; (2) if it appears the student used a substitution, give the substitution the student made and nd out what went wrong; (3) make the correction and nish the problem. For example, if the problem and incorrect rst step is [005(33: + 1) dm : fcosu du, . you would write: The student correctly used substitution, but the new integral is not equivalent to the original integral 1 since u : 3:17 + 1 forces rim 2 3 air => g du 2 d3; and the student made the mistake of putting (in 2 din The rst step should be [Cos(3:c+l) dr2/cosu- dun /cosudu. Once this correction is made, we nish the evaluation as follows: 1 1 l /00s(3x+1) dr: g/COSU duzgsinu+C=sin(3x+l)+C. 2 2 Incorrect Start 1: The rst student wrote: / Zen/5x 1 dz]: : / 2\/53/2 ~27; day. What is 1 1 incorrect