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:
Each number is 4 times the previous number"
2*4 = 8
8*4 = 32
32*4 = 128
so next 3 are:
128 * 4 = 512
512*4 = 2048
2048 * 4 = 8192
512 , 2048, 8192
Answer:
x=2.5
Step-by-step explanation:
the first thing you want to do is simplify like terms.
you could say this is as 4(x+7)=38
this can easily be solved algebraically.
first use distributive property on the four
this leaves you with 4x+28=38
next, subtract 28 from both sides
4x=10
now divide everything by four and you get x=2.5
That would depend on the size of your classroom. but, typically the answer is no
I know that x is equal to 11 and i hope it helps you
if so please mark as Brainliest
