Dive into a comprehensive tutorial series on integration by parts in calculus, covering a wide range of examples and techniques. Learn how to apply the udv format and DI method to solve complex integrals, including those involving trigonometric, exponential, and logarithmic functions. Master the integration of expressions such as tan^-1(x), ln(x)/x^2, e^(3x)*sin(2x), and more. Explore advanced topics like integrating arcsin(x), arccos(x), and combinations of functions. Gain proficiency in solving integrals that require both u-substitution and integration by parts. Practice with numerous examples, from basic to challenging, to solidify your understanding of this essential calculus technique.
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
