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Constant Factor Rule
Reference
> Calculus: Integration
Description
∫
c
f
(
x
)
d
x
=
c
∫
f
(
x
)
d
x
\int cf(x) \, dx=c\int f(x) \, dx
∫
c
f
(
x
)
d
x
=
c
∫
f
(
x
)
d
x
Examples
∫
3
cos
x
d
x
\int 3\cos{x} \, dx
∫
3
cos
x
d
x
1
Use
Constant Factor Rule
:
∫
c
f
(
x
)
d
x
=
c
∫
f
(
x
)
d
x
\int cf(x) \, dx=c\int f(x) \, dx
∫
c
f
(
x
)
d
x
=
c
∫
f
(
x
)
d
x
.
3
∫
cos
x
d
x
3\int \cos{x} \, dx
3
∫
cos
x
d
x
2
Use
Trigonometric Integration
: the integral of
cos
x
\cos{x}
cos
x
is
sin
x
\sin{x}
sin
x
.
3
sin
x
3\sin{x}
3
sin
x
3
Add constant.
3
sin
x
+
C
3\sin{x}+C
3
sin
x
+
C
Done
3*sin(x)+C
See Also
-
Power Rule
-
Sum Rule
English
Constant Factor Rule