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:
4592.7
Step-by-step explanation:
Add them up:
4000 + 500 + 90 + 2 + 0.7 = 4592.7
Answer:
the number of photocopies made
Step-by-step explanation:
The wording "a function of <em>the number of photocopies made</em>" tells you that "the number of photocopies made" is the independent variable.
___
The wording "y is a function of x" means x is the independent variable.
5(x-5)^4(x+4)
you raise x-5 to the 4th power because 5 has a multiplicity of 4
Answer:
im Pretty sure x
Step-by-step explanation: Distribute:
=4x2+−12x+9+−9x2+12x+−4
Combine Like Terms:
=4x2+−12x+9+−9x2+12x+−4
=(4x2+−9x2)+(−12x+12x)+(9+−4)
=−5x2+5
Answer: −5x2+5