Solve the problem.
-Suppose that $f$ and $g$ are continuous and that $\int _ { 5 } ^ { 9 } f ( x ) d x = - 6$ and $\int _ { 5 } ^ { 9 } g ( x ) d x = 8$. Find $\int _ { 5 } ^ { 9 } [ 4 f ( x ) + g ( x ) ] d x$
A) 26
B) -16
C) 8
D) 12

Question

Quizplus · Accepted Answer

The integral can be split and constants factored out: $\int _ { 5 } ^ { 9 } [ 4 f ( x ) + g ( x ) ] d x = 4 \int _ { 5 } ^ { 9 } f ( x ) d x + \int _ { 5 } ^ { 9 } g ( x ) d x = 4(-6) + 8 = -24 + 8 = -16$.

Solve the Problem fff And ggg Are Continuous and That ∫59f(x)dx=−6\int _ { 5 } ^ { 9 } f ( x ) d x = - 6∫59​f(x)dx=−6

Solve the Problem $f$ And $g$ Are Continuous and That $\int _ { 5 } ^ { 9 } f ( x ) d x = - 6$