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Calculus 2 exam 3

  1. What is Image Upload 21/x2+1 dx?
    Inverse tangent rule: tan-1x+c
  2. What is a trig identity for sin2x?
    Sin2x=2sinxcosx
  3. What is a trig identity for cos2x?
    Cos2x=(1+cos2x)/2
  4. What is a trig identity for sin2x?
    sin2x=(1-cos2x)/2
  5. what is the anti-derivative of 1/u?
    Image Upload 41/u= ln|u|+c
  6. what is the anit-derivative of sec(u) du?
    Image Upload 6sec(u)du = ln|sec(u)+tan(u)|+c
  7. What is the formula for integration by parts?
    Image Upload 8u dv = uv-Image Upload 10vdu
  8. what does ILATE stand for and what is it used for?
    • I= inverse
    • L= logarithm
    • A= algebraic
    • T= trig functions
    • E= Exponentials
    • *used to choose what "u" should be in integration by parts.
  9. what is Image Upload 12 secx dx?
    Image Upload 14sec(x) dx = ln|sec(x)+tan(x)|+c
  10. Image Upload 16Image Upload 18u2-a2/u2 du equals?
    = -Image Upload 20u2-a2/u + ln|u+Image Upload 22u2-a2|+c
  11. Image Upload 24cos-1udu equals?
    = ucos-1u-Image Upload 26(1-u2) +c
  12. what is Image Upload 28du/uImage Upload 30(u2-a2) ?
    =1/a sec-1 u/a +c
  13. How do you complete the square?
    (ax2+bx+c) = (ax2+bx+(b/2)2) -(b/2)2+c
  14. what is Image Upload 321/Image Upload 34(a2-u2) du?
    = sin-1(u/a)+c
  15. What is
    Image Upload 36sin2(x)dx?
    = x/2 - sin(2x)/4 +c
  16. what is Image Upload 38cos2(x)dx ?
    = x/2 + sin(2x)/4 +c
  17. Image Upload 40u2 ln(u) du ?
    = un+1 / (n+1)2 [(n+1)ln(u)-1] +c
  18. what is the derivative of 1/(x2+1)?
    = tan-1x+c
  19. Image Upload 42Image Upload 44(a2+u2)/ u2 du?
    = - Image Upload 46(a2+u2)/u + ln(u+Image Upload 48(a2+u2)) +c
  20. what do you do when the top is longer than the bottom on the integral of polynomials?
    long divide the bottom from the top first.
Author
AnnaRinaldo
ID
224902
Card Set
Calculus 2 exam 3
Description
Calculus 2
Updated

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