Answer:
12
Step-by-step explanation: Ryan played 12 songs because 9+3=12
Answer:
statistic
Step-by-step explanation:
because its calculated
Answer:
x = 3
Step-by-step explanation:
7x - 9 + 3x = 2x + 18 - x
10x - 9 = x + 18
10x - x = 18 + 9
9x = 27
x = 3
Answer:
≈ <em>3.4</em><em> </em>
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A(
,
) and B(
,
) in a ratio a : b are
,
)
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is
=
≈ <em>3.4</em>
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:
