English ENG 1310 Lecture Notes - Lecture 18: Partial Fraction Decomposition, Parametric Equation, Parallelogram

• School: Texas State University
• Department: English
• Course: English ENG 1310
• Professor: Graeme B Mullen

Document Summary

U dv = uv - v du u dv du v. ____n_____ = _ a__ + _b__ __n____ = a__ + b___ (x+p) + (x+q) (x+p) (x+q) (x+p)2 (x+p) (x+p)2. N_______ = ax + b + __c__ + d_ partial (x2+p)(x+q)2 (x2+p) (x+q) (x+q)2 fractions. |a x b|; where a = pq. Limits (as x ) lim nln n. = 0 lim n n = 1 lim x1/n = 1 ( x > 0 ) lim xn = 0 ( |x| < 1 ) lim (1+ )n = ex x n nx = 0 n! nln xn lim lim. If ||, then a x b = 0 if perp. then a b = 0. 1 dx/xp if p > 1 converges if p 1 diverges. Direct comparison: g(x) f(x) if g(x)dx c, so does f(x)dx. If lim g(x) = l then a f(x)dx and a g(x)dx x f(x) both c or d.