Hi there!

To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:

Answer: 1) $54.74
2) $12.80
Step-by-step explanation:
Find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5
elena-s [515]
Median is 6 range is 9 mode is 6 and mean is 7
C, because the independent variable would be the variable that is changing -- in this case, the temperature. The dependent variable changes according to the independent variable, and is called so because it depends on the temperature of the pool.
Answer:
I would go with answer option A.
Step-by-step explanation:
Hope this helps. Also have an Amazing Day!