A Table of Indefinite Integrals

FunctionAntiderivativeFormula
xn
(n -1)
xn+1

n+1
+ C
xn dx=
xn+1

n+1
+ C     (n -1)
Examples: x5.4 dx=
x6.4

6.4
+ C   Use the formula with n = 5.4
3x5.4 dx=
3x6.4

6.4
+ C   The multiple 3 "goes along for the ride"
FunctionAntiderivativeFormula
x-1 ln |x| + C
x-1 dx=ln |x| + C
Example: (5x-1 + 11x-3) dx=5 ln |x|-
11x-2

2
+ C
FunctionAntiderivativeFormula
k
(k constant)		 kx + C
k dx=kx + C
Example: (5x-5.4 + 9) dx=-
5x-4.4

4.4
+ 9x + C
FunctionAntiderivativeFormula
ex ex + C
ex dx=ex + C
Example: (3x5.4 + 9ex - 4) dx=
3x6.4

6.4
+ 9ex - 4x + C

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