Anti Derivatives & Integrals

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17 Terms

1
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∫ cos (x) dx

sin (x) + c

2
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∫ csc2 (x) dx

cot (x) +c

3
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∫ csc (x) cot (x) dx

csc (x) + c

4
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∫ sin (x) dx

cos (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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∫ 1/x dx

ln |x| + c

8
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∫ ex dx

ex + c

9
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∫ ax dx

( 1 / ln a) ax + c

10
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∫ 0 dx

0 + c

11
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∫ k dx

kx + c

12
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k f(x) dx

k ∫ f(x) dx

13
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∫ [ f(x) + g(x) ] dx

∫ f(x) dx + ∫ g(x) dx

14
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∫ [ f(x) - g(x) ] dx

∫ f(x) dx - ∫ g(x) dx

15
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∫ xn dx

xn+1 / n + 1 ; where n ≠ -1

16
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∫ eu (du/dx) (dx)

eu + c

17
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∫ au (du/dx) dx

au / ln(a) + c