Book 2

Integrals. Series.

[2165/74%]

L. D. Kudryavtsev, A. D. Kutasov, V. I. Chekhlov, M. I. Shabunin

Chapter 2.1Indefinite Integral[351/97%]

Section 2.1General Techniques and Methods of Integration[32/91%]

Section 2.2Integration of Rational Functions[11/100%]

Section 2.3Integration of Irrational Functions[27/78%]

Section 2.4Integration of Transcendental Functions[47/100%]

Section 2.5Integration of Miscellaneous Functions[234/100%]

Chapter 2.2Definite Integral[734/76%]

Section 2.6Definite Integral[232/59%]

Section 2.7Computing Areas of Plane Figures and Lengths of Curves[114/82%]

Section 2.8Computing Volumes of Solids and Areas of Surfaces[128/93%]

Section 2.9Applications of the Integral to Geometric and Physical Problems[172/94%]

Section 2.10Approximate Computation of Integrals. Estimates of Integrals[88/51%]

Chapter 2.3Improper Integrals[398/88%]

Section 2.11Improper Integrals of Unbounded Functions[142/93%]

Section 2.12Improper Integrals with Infinite Limits[256/86%]

Chapter 2.4Numerical Series[159/43%]

Section 2.13Properties of Convergent Series[20/50%]

Section 2.14Series with Nonnegative Terms[55/55%]

Section 2.15Absolutely and Non-Absolutely Convergent Series[36/44%]

Section 2.16Miscellaneous Problems on the Convergence of Series[48/27%]

Chapter 2.5Functional Sequences and Series[523/56%]

Section 2.17Convergence and Uniform Convergence of Functional Sequences[26/69%]

Section 2.18Convergence and Uniform Convergence of Functional Series[51/63%]

Section 2.19Properties of Uniformly Convergent Functional Sequences and Series[44/30%]

Section 2.20Power Series[32/63%]

Section 2.21Taylor Series[85/71%]

Section 2.22Trigonometric Fourier Series[178/61%]

Section 2.23Asymptotic Representations of Functions[31/19%]

Section 2.24Infinite Products[76/45%]