Divide each side by 16
x = 3
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:
34347
Step-by-step explanation:
Use the formula s=p(1+r/k)^kt
p=30000
r=7% (interest)
k=1 (because of per annum)
t= 2 (years)
Hence: 30000(1+0.07/1)^1(2) = 34347
Answer:
x =0
Step-by-step explanation:
Solve for x over the real numbers:
sqrt(x) = 0
Square both sides:
Answer: x = 0
Step-by-step explanation:
take
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