Integrals of trig functions

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13 Terms

1
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∫ cos x dx

sin x + C

2
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∫ sin x dx

-cos x + C

3
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∫ tan x dx

-ln |cos x| + C

4
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∫ cot x dx

ln |sin x| + C

5
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∫ sec x dx

ln |sec x + tan x| + C

6
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∫ csc x dx

-ln |csc x + cot x| + C

7
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∫ sec^2 x dx

tan x + C

8
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∫ csc^2 x dx

-cot x + C

9
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∫ sec x tan x dx

sec x + C

10
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∫ csc x cot x dx

-csc x + C

11
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∫ dx/(sqrt(a^2 - x^2))

arcsin (x/a) + C

12
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∫ dx/(a^2 + x^2)

(1/a) arctan (x/a) + C

13
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∫ dx/(|x|*sqrt(x^2 - a^2))

(1/a) arcsec (|x|/a) + C