Untitled Deck Flashcards
∫(du/u)
ln(u) + C
∫e^u du
e^u + C
∫a^u du
(a^u)/(ln a) + C
∫sin u du
-cos u + C
∫cos u du
sin u + C
∫sec^2 u du
tan u + C
∫csc^2 u du
-cot u + C
∫sec u tan u du
sec u + C
∫csc u cot u du
-csc u + C
∫tan u du
ln |sec u| + C
∫cot u du
ln |sin u| + C
∫sec u du
ln |sec u + tan u| + C
∫csc u du
ln |csc u - cot u| + C
∫du/√(a²-u²)
arcsin(u/a) + C
∫du/(a^2 + u^2)
(1/a)arctan(u/a) + C
∫du/(u√(u^2-a^2))
(1/a)arcsec(u/a) + C
d/dx ln |x|
1/x
d/dx sin(x)
cos(x)
d/dx cos(x)
-sin(x)
d/dx tan(x)
sec^2(x)
d/dx csc(x)
-csc(x)cot(x)
d/dx sec(x)
sec(x)tan(x)
d/dx cot(x)
-csc^2(x)
d/dx sin⁻¹x
1/√(1-x^2)
d/dx cos⁻¹x
-1/√(1−x²)
d/dx tan^-1
1/(1+x^2)
d/dx sec^-1
1/(x√(x^2-1))
sin(x)
1/csc(x)
cos(x)
1/sec(x)
tan(x)
1/cot(x)
sin(x)/cos(x)
tan(x)
csc(x)
1/sin(x)
sec(x)
1/cos(x)
cot(x)
1/tan(x)
cos(x)/sin(x)
cot(x)
sin^2(x)
1-cos^2(x)
cos^2(x)
1-sin^2(x)
tan^2(x)
sec^2(x)-1
sec^2(x)
tan^2(x)+1
1+cot^2(x)
csc^2(x)
sin(2x)
2sin(x)cos(x)
cos(2x)
cos^2(x)-sin^2(x)
sin^2(x) half angle
(1/2)(1-cos(2x))
cos^2(x) half angle
(1/2)(1+cos(2x))
