We are integrating f(x) = 9cos(9x) + 3x²: 
a) Apply the sum rule

b) Calculate each antiderivative
<u>First integral</u>

1. Take out the constant

2. Apply u-substitution, where u is 9x

3. Take out the constant (again)

4. Take the common integral of cos, which is sin

5. Substitute the original function back in for u and simplify
6. Always remember to add an arbitrary constant, C, at the end

<u>Second integral</u>

1. Take out the constant

2. Apply the power rule,
, where <em>a</em> is your exponent
⇒ 
3. Add the arbitrary constant

c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
<h3>
Answer:</h3>
F(x) = sin(9x) + x³ + C
You are correct. The answer is choice B.
The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.
c(x) = 4x - 2
d(x) = x^2 + 5x
4x - 2(x^2 + 5x)
<em><u>Using FOIL, distribute each term appropriately. </u></em>
4x^3 + 20x^2 - 2x^2 - 10x
<em><u>Combine like terms.</u></em>
4x^3 + 18x^2 - 10x is the simplified polynomials achieved when c(x) and d(x) are multiplied.
Because 3/8 as a percentage would be 0.375%
152 per hour. Just take the 1672 and divide it by 11 to get your rate of change