MAT 132 Midterm: MAT 132 SBU Fall 16 Midterm 1Sol

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 132
• Professor: All

Document Summary

Midterm 1 will cover de nite integrals, integration techniques, improper integrals, area and volumes by integrals (sections 5. 1-5. 7, 5. 10, 6. 1-6. 3, appendix h2 of the textbook). Problems below are similar to the problems you may encounter on midterm 1. Make sure that you can handle problems from all rubrics. De nite integral as area: without performing integration, explain why. 2: the function f (x) = ex2 is not integrable in elementary functions (it doesn"t have an elementary antiderivative). Use geometric interpretation of de nite integral in order to nd upper and lower bounds for. Z0 ex2 dx, that is nd numbers a, b such that. Z0 the interval [0, 3]? f (x) dx, where f (x) = ex2 a < What is the average value of f over: evaluate the integral. De nite integral as limit of riemann sums: evaluate the integral.