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Power Rule
Reference
> Calculus: Integration
Description
∫
x
n
d
x
=
x
n
+
1
n
+
1
+
C
\int {x}^{n} \, dx=\frac{{x}^{n+1}}{n+1}+C
∫
x
n
d
x
=
n
+
1
x
n
+
1
+
C
Examples
∫
x
4
d
x
\int {x}^{4} \, dx
∫
x
4
d
x
1
Use
Power Rule
:
∫
x
n
d
x
=
x
n
+
1
n
+
1
+
C
\int {x}^{n} \, dx=\frac{{x}^{n+1}}{n+1}+C
∫
x
n
d
x
=
n
+
1
x
n
+
1
+
C
.
x
5
5
\frac{{x}^{5}}{5}
5
x
5
2
Add constant.
x
5
5
+
C
\frac{{x}^{5}}{5}+C
5
x
5
+
C
Done
x^5/5+C
See Also
-
Constant Factor Rule
-
Sum Rule
English
Power Rule