Dive into an extensive video tutorial on improper integrals, covering Section 7.8 of Stewart Calculus. Learn to evaluate challenging integrals, including the controversial integral of 1/x from -1 to 1, and explore various types of improper integrals with infinite limits or discontinuities. Master techniques such as the p-test and the Comparison Theorem for improper integrals through numerous examples and exercises. Tackle complex problems involving logarithmic, exponential, and trigonometric functions, and gain a deep understanding of convergence and divergence in improper integrals. Perfect for students seeking to enhance their calculus skills and prepare for advanced mathematical concepts.
Overview
Syllabus
Innocent looking, but ????.
Improper integral of 1/x from -1 to 1 (THE DEBATE?).
integral of ln(x) from 0 to 1, ft Oon Han.
Sect 7.8 #5, improper integral.
improper integral of x*e^(-x^2) from -inf to +inf.
Sect 7 8#13 integral of xe^(-x^2).
improper integral of sin^2x from 0 to inf.
Sect 7 8#21, integral of ln(x)/x from 1 to inf.
Improper integrals 1/(x*ln(x)) vs. 1/(x*(ln(x))^2) from e to inf.
Sect 7 8#31, improper integral of 1/x^4 from -2 to 3.
Stewart Calculus, Sect 7 8 #49.
Stewart Calculus, Sect 7 8 #51.
Stewart Calculus, Sect 7 8 #57.
P test for improper integral.
Stewart Calculus, Sect 7 8 #58.
Stewart Calculus, Sect 7 8 #69.
Understand Comparison Theorem For Improper Integral Ex1.
Understand Comparison Theorem For Improper Integral Ex2.
Understand Comparison Theorem For Improper Integral Ex3.
Comparison Theorem for improper integrals, (the 3 steps, ex1).
Comparison Theorem for improper integrals, (the 3 steps, ex2).
Comparison Theorem for improper integrals, (the 3 steps, ex3), integral of 1/ln(x) from e to inf.
Comparison Theorem doesn't work, integral of 1/(x^2-1) from 2 to inf.
integral of sqrt(x)*e^(-x) from 0 to inf.
Hard Improper Integral.
Comparison Theorem for Improper Integral.
Taught by
blackpenredpen
