Solve the problem.
-Suppose that ∫ f(x) dx = -6. Find ∫ 9f(u) du and ∫ - f(u) du . 3 3 3
A) 9; 6
B) 3; -6
C) -54; - 16
D) -54; 6

Question

Quizplus · Accepted Answer

First, we use the constant multiple rule and substitution rule to find ∫ 9f(u) du:

∫ 9f(u) du = 9 ∫ f(u) du (constant multiple rule)
= 9(-6) (substitution rule with u = x)
= -54

Next, we use the constant multiple and negative rule to find ∫ - f(u) du:

∫ - f(u) du = -1 ∫ f(u) du (constant multiple rule)
= -1(-6) (negative rule)
= 6

Therefore, the answer is D, -54 and 6.

Solve the Problem. -Suppose That ∫ F(x) Dx = -6. Find ∫ 9f(u)