Answer
TRUE
Work Step by Step
Apply Fundamental Theorem of Calculus on the left side of the given statement.
$\int_{a}^{b}5[f(x)]dx=5f(b)-5f(a)$
Now, apply Fundamental Theorem of Calculus on the right side of the given statement.
5$\int_{a}^{b}f(x)dx=5[f(b)-f(a)]=5f(b)-5f(a)$
Hence, the statement is true.
