Level 447 Level 449
Level 448

Derivatives & Antiderivatives of Trigonometric Fun


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cos(u)u'
d/dx sin(u)
-sin(u)u'
d/dx cos(u)
sec²(u)u'
d/dx tan(u)
-csc(u)cot(u)u'
d/dx csc(u)
sec(u)tan(u)u'
d/dx sec(u)
-csc²(u)u'
d/dx cot(u)
u'/√1-u²
d/dx arcsin(u)
-u'/√1-u²
d/dx arccos(u)
u'/u²+1
d/dx arctan(u)
-u'/|u|√u²-1
d/dx arccsc(u)
u'/|u|√u²-1
d/dx arcsec(u)
-u'/u²+1
d/dx arccot(u)
-cos(u)+C
∫ sin(u)du
sin(u)+C
∫ cos(u)du
-ln|cos(u)|+C
∫ tan(u)du
-ln|csc(u)+cot(u)|+C
∫ csc(u)du
ln|sec(u)+tan(u)|+C
∫ sec(u)du
ln|sin(u)|+C
∫ cot(u)du
tan(u)+C
∫ sec²(u)du
-cot(u)+C
∫ csc²(u)du
sec(u)+C
∫ sec(u)tan(u)du
-csc(u)+C
∫ csc(u)cot(u)du
arcsin(u/a) + C
∫ du/√a²-u²
(1/a)arctan(u/a) + C
∫ du/a²+u²
(1/a)arcsec(|u|/a) + C
∫ du/u√u²-a²