MATH 140 Lecture 36: Exam 4 Review

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: Denny Gulick

Document Summary

3: suppose we wish to approximate . Explain: since ln x is increasing on [1, 2], the left sum is automatically less than . 1 ln x dx : let h (w )=ln(3 w2 w) Find the domain of h, then find the derivative: note that 3w2 w=0 if w (3 w 1)=0 , so w = 0 or w = 1/3. 3 w2 w . ( ,0) and on ( 1. 3: use the comparison property to show that 4 2 . X3+8dx 4(2)=8: let f ( x)= x 3 x cos(t 2)dt. Find f "(x ) and f "(0) i. ((x3)2) cos . F" (0)=0cos 0 cos0= 1: evaluate the following integrals. X2 1 dx: note that x2 1<0 if 1