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Derivatives and Integrals of Trigonometric Functions Flashcards | StudBud
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Derivatives and Integrals of Trigonometric Functions
Derivatives and Integrals of Trigonometric Functions
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#calculus #trig #derivatives #integrals
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1
Derivative of tan(x)
sec(x)tan(x)
-csc(x)cot(x)
csc2(x)
sec2(x)
2
Integral of cot(x)dx
ln|sin(x)| + C
ln|sec(x)| + C
ln|sin(x)|
ln|sec(x) +tan(x)| + C
3
Integral of sin(x)dx
sin(x) + C
ln |sin(x)| + C
ln |sec(x)| + C
-cos(x) + C
4
Derivative of sin(x)
-csc2(x)
-csc(x)cot(x)
sec2(x)
cos(x)
5
Integral of csc(x)cot(x)dx
ln|sin(x)| + C
sin(x) + C
ln|sec(x) + tan(x)| + C
- csc(x) + C
6
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7
Derivative of csc(x)
-csc2(x)
csc(x)
sec2(x)
-csc(x)cot(x)
8
Integral of tan(x)dx
ln|sin(x)| + C
ln|csc(x) - cot(x)| + C
-ln|cos(x)| + C
ln|sec(x) + tan(x)| + C
9
Derivative of sec(x)
cos(x)
sec(x)tan(x)
-sin(x)
-csc(x)
10
Integral of sec(x)tan(x) dx
sin(x) + C
-cos(x) +C
ln|csc(x) - cot(x)| + C
sec(x) + C
11
Integral of sec
2
x
dx
sec x tanx+c
tanx+c
cotx+c
cos2x+c
12
Derivative of cos(x)
-cos(x)
sec(x)
csc(x)sec(x)
-sin(x)
13
Derivative of cot(x)
-sin(x)
-csc2(x)
sec(x)tan(x)
sec2(x)
14
Integral of cos(x)dx
ln|sec(x)| + C
-cos(x) + C
sin(x) + C
ln|sin(x)| + C
