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:
the interger would be 15 because you earn 15 so therfore it would be 15.
Step-by-step explanation:
Answer:
The new account balance is <u>$812</u>.
Step-by-step explanation:
Given:
Larry Thomas's charge account statement shows an unpaid balance of $800.
The monthly finance charge is 1.5% of the unpaid balance.
Now, to find the new account balance.
Unpaid balance = $800.
Monthly finance charge of the unpaid balance = 1.5%.
Now, to get the new account balance:
$800 + 1.5% of $800.
Therefore, the new account balance is $812.
The product of x and 5 can be displayed as 5x
Less than -27 can be displayed as < -27
When we combine those two statements, the following inequality is made.
5x < -27
Answer:
95.3
Step-by-step explanation:
