Common Integrals

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Author:
xcristy182x
ID:
54284
Filename:
Common Integrals
Updated:
2010-12-08 02:46:39
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Calculus Final
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  1. 8.1 Integration by Parts
    • (fg)' = f'g + gf'
    • ∫udv = ∫udv + dvu - vdu
  2. Inverse Trig Functions:
    Things to know.
    • sin2x + cos2x = 1
    • sin2x = 1/2 - 1/2cos2x
    • sin(2x) = 2sinxcosx
    • d/dx cos-1x = -1/(1-x)1/2
    • cos2x = 1/2 + 1/2cos2x
    • cos2x = cos2x - sin2x
    • d/dx cos-1x = -1/(1-x)1/2
  3. More Inverse Funtions
    • tan2+ 1 = sec2x
    • d/dx tan2x = sec2x
    • d/dx tan-1x = 1/(1+x2)
    • d/dx ln(x2+1) = 1/(x2+1) * 2x
  4. Inverse Trig Functions
    • sec2x = tan2x + 1
    • d/dx secx = secxtanx
    • d/dx sin-1x = 1/(1-x2)1/2
    • d/dx sec-1x = 1/(x(x2-1)1/2)
    • d/dx tan-1x = 1/(1+x2)

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