This course on Integration by Parts aims to teach students how to solve integrals using the udv format and the DI method. The course covers various integrals involving trigonometric, exponential, logarithmic, and inverse trigonometric functions. Students will learn the integration by parts technique, DI method, and how to apply u-substitution in integration. The teaching method includes examples, tutorials, and practice problems. This course is intended for learners studying Calculus 2 or anyone interested in mastering the integration by parts method in calculus.
Overview
Syllabus
Integration by Parts (udv format) Calculus 2.
Integrals with both u-substitution & integration by parts (DI method).
Integral of tan^-1(x), integral of ln(x)/x^2, integral of e^(3x)*sin(2x), integration by parts.
integration by parts, DI method, VERY EASY.
Integral of tan^-1(x).
Sect 7 1 #3, integral of x*cos5x.
Sect 7 1 #3 *DI method* Integral of x*cos5x.
Q25, Integral of t*e^(-3t), Integration by Parts.
Sect 7 1 #10, integral of sin^-1x, integral of arcsin(x).
Integral of x*sec^2(2x).
Integral of (lnx)^2.
Integral of e^(2x)sin(3x), DI method, integration by parts.
Sect 7 1 #22, integral of (arcsin(x))^2.
Sect 7 1 #22 "DI method", integral of (arcsin(x))^2, integral of (sin^-1x)^2.
Sect 7 1 #29, integral of y/e^(2y).
Calculus: sect 7.1 #31, integral of cos^-1(x), integral of arccos(x).
integral of cos(sqrt(x)).
integral of sin(ln(x)), integration by parts with u substitution.
Integral of ln(x)/x^2, integration by parts, DI method.
integral of x*tan^ -1(x).
Q77, Integral of x*tan^2x.
integral of e^sqrt(x), integration by parts in the u-world,.
Integral of ln(x)/x^2, integration by parts, DI method.
integral of sin(ln(x)), integration by parts with u substitution.
integral of x*(lnx)^2, FAST!.
Integration by Parts (introduction & 2 examples).
integral of cos(ln(x)), two ways.
Taught by
blackpenredpen
