calc EEK

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23 Terms

1
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DIFFERENTIATE: x^n

n x ^ (n-1)

2
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DIFFERENTIATE: sin x

cos x

3
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DIFFERENTIATE: cos x

-sin x

4
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DIFFERENTIATE: tan x

sec²(x)

5
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DIFFERENTIATE: cot x

-csc²x

6
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DIFFERENTIATE: sec x

sec x tan x

7
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DIFFERENTIATE: csc x

-csc x cot x

8
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DIFFERENTIATE: ln x

( 1/x ) x’ (if chain rule is necessary)

9
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DIFF: log a (x)

ln (x) / ln (a) == (1/ ln a )(1 /x) (x’)

10
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DIFFERENTIATE: a^u

(a^u) (ln a) (u’)

11
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CHAIN RULE DIFFERENTIATE: f ( g(x) )

f’(g(x)) (g’(x))

12
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INTEGRATE: sin u

-cos u + C

13
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INTEGRATE: cos u

sin u + C

14
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INTEGRATE: sec² u

tan u + C

15
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INTEGRATE: sec u tan u

sec u + C

16
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INTEGRATE: csc u cot u

-csc u + C

17
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INTEGRATE: tan u

-ln |cos u| + C

18
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INTEGRATE: cot u

ln |sin u| + C

19
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INTEGRATE: sec u

ln |sec u + tan u| + C

20
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INTEGRATE: csc u

-ln |csc u + cot u| + C

21
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INTEGRATE: 1/u

ln |u| + C

22
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INTEGRATE: a^u

(a^u)/(ln a)

23
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