# MAT 1332 Lecture Notes - Lecture 1: Partial Fraction Decomposition, Stapler

## Document Summary

Due wednesday january 27 in the math department dropboxes by 7:00pm. Late assignments will not be accepted; nor will unstapled assignments. Professors in the math department will not lend you a stapler; do not ask for one. By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Calculate the following dx (cid:90) x3/2 5x x (a) (b) (cid:90) (cid:18) sin x + 4x2 6x x. 1 (cid:90) (c) sec2 x tan xdx (cid:90) (d) (x3 + x)10(3x2 + 1)dx (cid:90) (e) x4 ln xdx. 9x2 17x + 6 x(x 1)(x 2) (a) decomposer f (x) into partial fractions. (cid:90) f (x)dx (b) calculate. Question 3. (a) sketch the region enclosed by the curves y = 2 x and y = x2. (b) find the area of this region. Consider the region enclosed by the curve y = 3x x2 and the x-axis.