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New York City College of Technology, CUNY Mathematics Department Fall 2019 MAT 1575 Final Exam Review Problems Revised by Prof. Kostadinov Spring 2014, Prof. ElHitti

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New York City College of Technology, CUNY Mathematics Department Fall 2019 MAT 1575 Final Exam Review Problems Revised by Prof. Kostadinov Spring 2014, Prof. ElHitti Summer 2017, Prof. Africk Fall 2019 1. Evaluate the following definite integrals: 3x2 a. Jo x2 (x3 + 1)3 dx X b. dx C. dx 0 vx +9 ovx'+1 2. Evaluate the following indefinite integrals: a. [ x' In(x)dx b. [xedx c. [ xcos(3x ) dx 3. Find the area of the region enclosed by the graphs of: a. y =3-x and y= -2x b. y=x -2x and y=x+4

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