Answer:
36 is the final
Step-by-step explanation:
4(5)+8(2)
20+16
36
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:

The answer is 0.76541 (from calculator)
The answer is 78.5 you can get this by multiplying pi by the radius which is 5 then square it and you get 78.5
Answer:
fctvvt t tvtbtvybyvbybtbtbvvrvrvrvtbrhtht
Step-by-step explanation:
ftvt t tvtvybybyvyvtbtb5