MATH 221 Midterm: MATH 221 KSU Test 2f06

• 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. Z sec x dx = ln| sec x + tan x| + c. Z csc x dx = ln| csc x + cot x| + c. ) + c dx a2 + x2 = Z a2 u2 du = arcsec(|x| a. 2 (cid:18)u a2 u2 + a2 arcsin u a(cid:19) + c , 2 (cid:16)u u2 a2 a2 ln|u + u2 a2|(cid:17) + c. For the region trapped between y = f (x) , y = g(x) , a x b , (with = 1 ) 2 r b a f (x)2 g(x)2 dx , my = r b a x(f (x) g(x)) dx. For a parametric curve: d2y dx2 = d dt (dy/dx) dx/dt (12) 1. Calculate the length of the curve y = x2 , 0 x 1 . page 2 of 6 (14) 2.