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:
circumference is πd
d=112mm
22/7*112
=352mm
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It's the only thing not listed aka the number of math problems.
Answer:
she would need annual breast cancer screening with mammograms.
Step-by-step explanation:
hope this helps! hope you have a nice day.
Answer:
the additional characters will the factory creating per day is 105 characters
Step-by-step explanation:
The computation of the additional characters will the factory creating per day is shown below
= Number of character produced × (1 + increased percentage)
= 350 × (1 + 0.30)
= 350 × 1.30
= 455 characters
Now the additional characters would be
= 455 - 350
= 105 characters
hence, the additional characters will the factory creating per day is 105 characters
