CALC RULES - f(x dx= lim f(x dx Integration by Parts ...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Trapezoid Rule: (b - a/ 2n ) [ f (x0) + 2 f (x1) + 2 f (x2)…+ 2 f (xn-1) + f (x) ] Simpson’s Rule: (b - a/ 3n ) [ f (x0) + 4 f (x1) + 2 f (x2)…+ 4 f (xn-1) + f (x) ] Average Value: When b 0 it is convergent and f(x) dx / b-a when b ϑϑ it is divergent Improper Integrals: f (x) dx= lim f (x) dx OR f (x) dx= lim f (x) dx
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ∫ f (x) dx= lim f (x) dx Integration by Parts: ∫ u du = (u)(v) -∫ (v)(du) Integrations cos x dx = sin x + C sin x dx = -cos x + C sec 2 x dx = tan x + C csc x cot x dx = -csc x + C sec x tan x dx = sec x + C csc 2 x dx = -cot x + C...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern