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