10 Integral-part3

10 Integral-part3 - Chapter 3(Integral Calculus 3.6 3.7 1 3.6 improper integral(P175 b f x)dx = lim f x)dx b a a b b f x)dx = lim f x)dx a c a b f

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 3 积积 (Integral Calculus) 3.6 积积积积 3.7 积积积积积积 02/28/12 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3.6 积积积积积积积积积积积 improper integral 积积 (P175): + ∞ + ∞ = b a b a dx x f dx x f ) ( lim ) ( -∞ - = b a a b dx x f dx x f ) ( lim ) ( + ∞ + ∞ - -∞ + = b c b c a a dx x f dx x f dx x f ) ( lim ) ( lim ) ( 积积积积 : 积积积积积积 (convergent) 积积积积积 : 积积积积积积 (divergent) 02/28/12 2
Background image of page 2
Examples = + ∞ 1 2 x dx + ∞ b b x dx 1 2 lim b b x 1 1 lim - = + ∞ + - = + ∞ 1 1 lim b b 1 = = + ∞ 1 x dx ( 29 + 1 2 x + ∞ = 1 + ∞ x dx 1 1 1 = - + ∞ x = + ∞ 1 2 : x dx or divergent 积 02/28/12 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
积积积积积积 1 p x dx 积积积积 < + - = - = + - + 1 , 1 , 1 1 | 1 : 1 ) 1 ( 1 1 1 p p p p x x dx p p p = = + ∞ 散散 1 1 | ln : 1 ) 2 x x dx p 积积积积 p 1, 积积积积积积 p>1, 积积积积
Background image of page 4
2 2 (1) (ln ) dx x x +∞ 2 (2) ln dx x x +∞ 1 (3) dx x +∞ (4) dx x +∞ -∞ 积积积积积积积积积积积积积积 2 1 1 1 1 lim lim ln ln ln 2 ln 2 b b b x b →+∞ →+∞ = - = - + = ÷ [ ] ( 29
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/28/2012 for the course ECO 211 taught by Professor Arafat during the Summer '08 term at Anne Arundel CC.

Page1 / 19

10 Integral-part3 - Chapter 3(Integral Calculus 3.6 3.7 1 3.6 improper integral(P175 b f x)dx = lim f x)dx b a a b b f x)dx = lim f x)dx a c a b f

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online