Calculus Antiderivatives AB

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20 Terms

1
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∫xⁿ dx

(xⁿ⁺¹)/(n+1) +c

2
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∫0 dx

c

3
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∫k dx

kx +c

4
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∫1/√x dx

2√x +c

5
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∫axⁿ dx

(a)(xⁿ⁺¹)/(n+1) +c

6
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∫cosx dx

sinx +c

7
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∫cos(kx) dx

1/k sin(kx) +c`

8
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∫sec²x dx

tanx +c

9
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∫secxtanx dx

secx +c

10
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∫sinx dx

-cosx +c

11
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∫csc²x dx

-cotx +c

12
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∫cscxcotx dx

-cscx+c

13
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∫e^x dx

e^x +c

14
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∫1/x dx

ln|x| +c

15
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∫1/√(1-x²) dx

sin⁻¹x +c

16
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∫1/(1+x²) dx

tan⁻¹x +c

17
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∫a^x dx

a^x/lna +c

18
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∫f'(x) dx

f(x) +c

19
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∫cf'(x) dx

cf(x) +c

20
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∫f'(kx) dx

1/k f(kx) +c