A Table of Indefinite Integrals

FunctionAntiderivativeFormula
xn
(n 1)
xn+1

n+1
+ C
xn dx=
xn+1

n+1
+ C     (n 1)
Example: 3x5.4 dx=
3x6.4

6.4
+ C
FunctionAntiderivativeFormula
x1 ln |x| + C
x1 dx=ln |x| + C
Example: (5x1 + 11x3) dx=5 ln |x|
11x2

2
+ C
FunctionAntiderivativeFormula
k
(k constant)		 kx + C
k dx=kx + C
Example: (5x5.4 + 9) dx=
5x4.4

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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