Integration

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23 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|sec(x)+tan(x)|+C

5
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∫sec²(x) dx

tan(x)+C

6
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∫sec(x)tan(x) dx

sec(x)+C

7
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∫dx/(sqrt(1-x²))

arcsin(x)+C

8
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∫dx/(1+x²)

arctan(x)+C

9
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∫dx/(x(sqrt(x²-1)))

arcsec(x)+C

10
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∫cot(x) dx

ln|sin(x)|+C

11
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∫csc(x) dx

ln|csc(x)-cot(x)|+C

12
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∫csc²(x) dx

-cot(x)+C

13
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∫csc(x)cot(x) dx

-csc(x)+C

14
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∫dx/(sqrt(a²-x²))

arcsin(x/a)+C, a>0

15
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∫dx/(a²+x²)

(1/a)arctan(x/a)+C, a>0

16
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∫dx/(x(sqrt(x²-a²)))

(1/a)arcsin(x/a)+C, a>0

17
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sin²(x)

(1/2)(1-cos2x)

18
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cos²(x)

(1/2)(1+cos2x)

19
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sin²x+cos²x

1

20
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tan²x+1

sec²x

21
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sinAsinB

(1/2)[cos(A-B)-cos(A+B)]

22
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sinAcosB

(1/2)[sin(A+B)+sin(A-B)]

23
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cosAcosB

(1/2)[cos(A-B)+cos(A+B)]