Properties of Integrals
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16 Terms
1
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∫cf(x) dx=
c∫f(x) dx
2
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∫\[f(x)+g(x) dx=
∫f(x) dx+ ∫g(x) dx
3
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∫k dx=
kx+C
4
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∫x^n dx=
(x^(n+1))/(n+1))+C
5
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∫1/x dx=
ln(x)+C
6
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∫e^x dx=
e^x+C
7
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∫a^x dx=
(a^x)/(ln(a))+C
8
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∫sin(x) dx
\-cos(x)+C
9
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∫cos(x) dx
sin(x)+C
10
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∫sec^2(x) dx=
tan(x)+C
11
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∫csc^2(x) dx=
\-cot(x)+C
12
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∫sec(x)tan(x) dx=
sec(x)+C
13
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∫csc(x)cot(x) dx=
\-csc(x)+C
14
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∫1/(√(1+x^2)) dx=
tan^-1(x)+C
15
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∫1/(√(1-x^2)) dx=
sin^-1(x)+C
16
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∫1/(x√(x^2-1)) dx=
sec^-1(x)+C