Integration and Trigonometric Identities

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18 Terms

1
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∫ xⁿ dx

xⁿ⁺¹ / (n + 1) + c

2
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∫ eˣ dx

eˣ + c

3
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∫ (1 / x) dx

ln|x| + c

4
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∫ cos x dx

sin x + c

5
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∫ sin x dx

-cos x + c

6
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∫ sec² x dx

tan x + c

7
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∫ cosec x cot x dx

-cosec x + c

8
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∫ cosec² x dx

-cot x + c

9
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∫ sec x tan x dx

sec x + c

10
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sin(A + B)

sin A cos B + cos A sin B

11
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sin(A - B)

sin A cos B - cos A sin B

12
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cos(A + B)

cos A cos B - sin A sin B

13
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cos(A - B)

cos A cos B + sin A sin B

14
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tan(A + B)

(tan A + tan B) / (1 - tan A tan B)

15
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tan(A - B)

(tan A - tan B) / (1 + tan A tan B)

16
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sin(2A)

2 sin A cos A

17
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cos(2A)

cos² A - sin² A ≡ 2 cos² A - 1 ≡ 1 - 2 sin² A

18
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tan(2A)

(2 tan A) / (1 - tan² A)