MATH 221 Midterm: MATH 221 KSU f15Test 4

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

The point value of each problem is given in the left-hand margin. 1 d dx tan x = sec2 x d dx sec x = sec x tan x d dx sin 1(x) = 1 1 x2 d dx tan 1(x) = 1. Z tan x dx = ln| cos x| + c. Z sec x dx = ln| sec x + tan x| + c. Z sinn x dx = sinn 1 x cos x n n 1 n z sinn 2 x dx, Z tann x dx = tann 1 x n 1 z tann 2 x dx , secn 2 x tan x. Z u2 a2 du = n 2 n 1 z secn 2 x dx a(cid:17) + c , n 1. 2 (cid:16)u a2 u2 + a2 sin 1 u. 2 (cid:16)u u2 a2 a2 ln|u + u2 a2|(cid:17) + c. Units of force: pounds, newtons; gravitational acceleration: g = 9. 8 m/sec 2.