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17 Cards in this Set

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power reducing: cos^2 =

1/2 * (1+cos(2x))

power reducing: sin^2 =

1/2 * (1-cos(2x))

power reducing: tan^2 =

(1-cos(2x))/(1+cos(2x))

trig integral: sec of ____ power expressed as _____

Even power


save sec^2


express in tan


u = tan

trig integral: tan of what power expressed as what

Odd power


save sectan


express in sec


u = sec

trig integral: cos of _____ power expressed as _____

Odd power:


save a cos


express in sin


u = sin


Even power:


Power reducing formula


trig integral: sin of ____ power expressed as ____

Odd power:


save a sin


express in cos


u = cos


Even power:


Power reducing formula


integral: tan dx

ln|sec| + C


or


-ln|cos| + C



integral: sec dx

ln|sec + tan| + C



integral: 1


---------------


a^2 + x^2



1/a * tan^-1(x/a) + C

integral: csc dx

ln|csc - cot| + C

X center of mass centroid

Y center of mass centroid