Formula Sheet for the Final Exam

Formula Sheet for the Final Exam - Formula Sheet To Be...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Formula Sheet To Be Provided During MATH1020 Final Exam: Derivatives: x x dx d cos sin = x x dx d sin cos = x x x dx d cot csc csc = x x x dx d tan sec sec = x x dx d 2 sec tan = x x dx d 2 csc cot = 2 1 1 1 ) (sin x x dx d = 2 1 1 1 ) (cos x x dx d = 1 1 ) (csc 2 1 = x x x dx d 1 1 ) (sec 2 1 = x x x dx d 2 1 1 1 ) (tan x x dx d + = 2 1 1 1 ) (cot x x dx d + = x x e e dx d = a a a dx d x x ln = x x dx d 1 ln = a x x dx d a ln 1 ) (log = Integrals (including Int by Parts formula): ∫∫ = vdu uv udv + = + C a x a dx a x 1 2 2 tan 1 1 C x x xdx + + = | tan sec | ln sec C x x xdx + = | cot csc | ln csc + = C x xdx | sec | ln tan + = C x xdx | sin | ln cot Trig Identities: 1 cos sin 2 2 = + x x , x x 2 2 sec tan 1 = + , x x 2 2 csc cot 1 = + () ) 2 cos( 1 2 1 ) ( sin 2 x x = , ) 2 cos( 1 2 1 ) ( cos 2 x x + = x x x cos sin 2 2 sin = x x x 2 2 sin cos 2 cos = x 2 sin 2 1 = 1 cos 2 2 = x Numerical Integration Formulas: Trapezoid: )] ( ) ( 2 )... ( 2 ) ( 2 ) ( [ 2 ) ( 1 2 1 0 n n b a n x f x f x f x f x f x T dx x f + + + + Δ = Simpson’s: )] ( ) (
Background image of page 1

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

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

This note was uploaded on 10/05/2011 for the course MATH 1020 taught by Professor Paulatu during the Spring '11 term at UOIT.

Page1 / 2

Formula Sheet for the Final Exam - Formula Sheet To Be...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online