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∫cosx dx

sinx+c

∫sinx dx

-cosx+c

∫tan²x dx

tanx-x+c

∫sec²x dx

tanx+c

∫cscx dx

ln |cscx + cotx|+c

∫csc²x dx

-cotx+c

∫secx dx

ln |secx + tanx|+c

∫secx tanx dx

secx+c

∫tanx dx

-ln |cosx|+c

∫cscx cotx dx

-cscx+c

∫cotx dx

ln |sinx|+c

d/dx sin⁻¹x

1/√(1-x²)

d/dx sinx

cosx

d/dx cosx

-sinx

d/dx tanx

sec²x

d/dx cotx

-csc²x

d/dx secx

secx tanx

d/dx cscx

-cscx cotx

d/dx tan⁻¹x

1/(1+x²)

cos2x

2cos²x -1
or
1-2sin²x

cos²x

(1+cos2x)/2

cos²∂

(1+cos2∂)/2

sin²∂

(1-cos2∂)/2

sin(A+B)

sinAcosB+cosAsinB

cos(A+B)

cosAcosB-sinAsinB

∫du/(a²+u²)

(1/a)tan⁻¹(u/a)+C

∫du/√(a²-u²)

sin⁻¹(u/a)+C

∫du/(u√(u²-a²))

(1/a)sec⁻¹(|u|/a)+C

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