Trig intergrals

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14 Terms

1
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∫sin x dx

-cos x + C.

2
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∫cos x dx

sin x + C.

3
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∫tan x dx

ln|sec x| + C.

4
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∫sec x dx

ln|tan x + sec x| + C.

5
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∫cosec x dx =

ln|tan(x/2)| + C

6
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∫cot x dx

ln|sin x| + C

7
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∫sec2x dx

tan x + C.

8
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∫cosec2x dx

∫cosec2x dx

9
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∫ arcsin(x) dx

x * arcsin(x) + √(1 - x²) + C 

10
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∫ arccos(x) dx

x * arccos(x) - √(1 - x²) + C 

11
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∫ arctan(x) dx

x * arctan(x) - (1/2) ln(1 + x²) + C 

12
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∫ arccsc(x) dx

x arccsc(x) + ln|x + √(x² - 1)| + C

13
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arcsec(x) (sec⁻¹(x))

x arcsec(x) - ln|x + √(x² - 1)| + C

14
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arccot(x) (cot⁻¹(x))

x arccot(x) + (1/2)ln(1 + x²) + C