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31 Cards in this Set
 Front
 Back
d/dx (sin¹x)

1/sqrt(1x²)


d/dx (sin¹u)

1/ (1u²) du/dx


d/dx (tan¹x)

1/ (1+x²)


d/dx (tan¹u)

1/(1+u²) du/dx


d/dx (sec¹x)

1/x[sqrt(x²1)]


d/dx(sec¹u)

1/[u(sqrt u²1)]


sin(x+y)

sinxcosy+cosxsiny


sin(xy)

sinxcosycosxsiny


cos(x+y)

cosxcosysinxsiny


cos(xy)

cosxcosy+sinxsiny


tan(x+y)

tanx+tany/1tanxtany


sin²x

1cos2x/2


tan(xy)

tanxtany/1+tanxtany


sin2x

2sinxcosx


cos2x

cos²xsin²x


tan2x

2tanx/1tan²x


sin²x

1cos2x/2


cos²x

1+cos2x/2


tan²x

1cos2x/1+cos2x


sin u/2

±sqrt(1cosu/2)


cos u/2

±sqrt(1+cosu/2)


integral dx/[sqrt(1x²)]

sin¹x + c


integral du/[sqrt(a²u²)]

sin¹u/a + c


integral dx/(1+x²)

tan¹x + c


integral du/(a²+u²)

1/a tan¹(u/a) + c


integral dx/x[sqrt x²1]

sec¹x + c


integral du/u[sqrt u²a²]

1/a sec¹ u/a + c


shell

V=2¶ integral x · f(x)dx
revolves around y 

disk

V=¶ integral [f(x)]²dx
revolves around x axis 

integral of sinM x·cosN x dx

1)N is odd: u=sinx; du=cosxdx
cos²x=1sin²x 2)M is odd: u=cosx; du=sinxdx sin²x=1cos²x 3)M and N are even: sin²x=1cos2x/2 cos²x=1+cos2x/2 

integral tanM x ·secN x dx

1)N is even: u=tanx; du=sec²x
sec²x=1+tan²x 2)M is odd: u=secx: du=secxtanxdx tan²x=sec²x1 