MATH 41 Midterm: Stanford MATH 41 finpracB
7 Mar 2019
School
Department
Course
Professor
Document Summary
Part 1: integration problems from 2004-05 exams: find each of the following. 2 (a) z (cid:18)4t4 t 1 + t2 + 1(cid:19) dt (b) z (cid:18)sec x tan x sin x + (a ) z 2 (b ) z 1 x2e3x dx x2ex3 dx x2 + 1. 1 (b) write an expression involving only numbers (including e) that represents the area esti- mate using these rectangles. Explain any notation you use. (you should not evaluate this limit. ) (d) calculate the value of the de nite integral z 1. 0 you can. ex dx, simplifying your answer as much as: evaluate the following integrals, showing all of your work. x3 dx. 1 x2 (a) z (c) z x2(ln x)2 dx: a particle moves along a line, with acceleration (in meters/sec2) as a function of time t (in seconds) given by a(t) = 2t 7. 3 f (t) dt, where f (x) =
