MATH 1100Y Midterm: MATH1101Y-T2-Solutions
Document Summary
Legibly, please: if you have a question, ask it, use the extra page 4 and the back sides of all the pages for rough work or extra space, you may use a calculator and an aid sheet. 1: compute any four (4) of the integrals in parts u z. 0: z 1/2, z sec4(y) dy, z w sec2(w) dw, z 9. We will use the substitution x = ln(u), so dx = 1 u du. 1 uln(u) du = z 1 x dx = ln(x) + c = ln (ln(u)) + c (cid:3: we will use the substitution y = 2 v, so dy = 2 dv and thus dv = 1. 2 dy, and v 0 1/2 y 0 . 2 0 = 0 (cid:3: we will use integration by parts with u = w and v = sec2(w), so u = 1 and v = tan(w).
