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Pythagorean identity involving sine
cos²x = 1 - sin²x
Pythagorean identity involving tangent
sec²x = 1 + tan²x
antiderivative of sec(x)
ln lsec(x) + tan(x)l + C
antiderivative of tan(x)
-ln lcos(x)l + C or ln lsec(x)l + C
antiderivative of sec²x
tan(x) + C
antiderivative of sec³x
½ [tan(x)sec(x) + ln lsec(x) + tan(x)l]
how to integrate sin²x
(1-cos(2x))/2
how to integrate cos²x
(1+cos(2x))/2
Double angle formula (sin(2x))
2sinxcosx
Double angle formula (cos(2x))
cos²xsin²x
1-2sin²x
2cos²x-1