Constant Factor Rule

Reference > Calculus: Integration

Description
\[\int cf(x) \, dx=c\int f(x) \, dx\]
Examples
\[\int 3\cos{x} \, dx\]
1
Apply the Constant Factor Rule: \(\int cf(x) \, dx=c\int f(x) \, dx\)
\[3\int \cos{x} \, dx\]

2
The integral of \(\cos{x}\) is \(\sin{x}\)
\[3\sin{x}\]

3
Add constant
\[3\sin{x}+C\]

Done

See Also