Integral Rules

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17 Terms

1
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∫0dx
c
2
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∫1dx
x+c
3
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∫adx
ax+c
4
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∫kf(x)dx
k∫f(x)dx
5
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∫[f(x)±g(x)]dx
∫f(x)dx ± ∫g(x)dx
6
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∫sinxdx
-cos(x)+c
7
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∫xⁿdx
(1/n+1)(xⁿ⁺¹)+c
8
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∫cosxdx
sinx+c
9
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∫sec²xdx
tanx+c
10
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∫csc²xdx
-cotx+c
11
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∫secxtanxdx
secx+c
12
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∫cscxcotxdx
−cscx+c
13
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∫sinxdx
−cosx + C
14
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∫1/x dx
ln|x|+c
15
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∫u'/u dx
In|u|+c
16
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∫a^x dx
(a^x)(1/lna)+c
17
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∫e^x dx
e^x+c