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Common Integrals
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8.1 Integration by Parts
(fg)' = f'g + gf'
∫udv = ∫udv + dvu - vdu
Inverse Trig Functions:
Things to know.
sin
^{2}
x + cos
^{2}
x = 1
sin
^{2}
x = 1/2 - 1/2cos
^{2}
x
sin(2x) = 2sinxcosx
d/dx cos
^{-1}
x = -1/(1-x)
^{1/2}
cos
^{2}
x = 1/2 + 1/2cos2x
cos2x = cos
^{2}
x - sin
^{2}
x
d/dx cos
^{-1}
x = -1/(1-x)
^{1/2}
More Inverse Funtions
tan
^{2}
+ 1 = sec
^{2}
x
d/dx tan
^{2}
x = sec
^{2}
x
d/dx tan
^{-1}
x = 1/(1+x
^{2}
)
d/dx ln(x
^{2}
+1) = 1/(x
^{2}
+1) * 2x
Inverse Trig Functions
sec
^{2}
x = tan
^{2}
x + 1
d/dx secx = secxtanx
d/dx sin
^{-1}
x = 1/(1-x
^{2}
)
^{1/2}
d/dx sec
^{-1}
x = 1/(x(x
^{2}
-1)
^{1/2}
)
d/dx tan
^{-1}
x = 1/(1+x
^{2}
)
Author
xcristy182x
ID
54284
Card Set
Common Integrals
Description
Sections
Updated
2010-12-08T07:46:39Z
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