Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:


If the terms are multiplied by constants, take them outside the integral:

Multiply by the conjugate of 1 - sin(6x) :






Expand:






![\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}](https://tex.z-dn.net/?f=%5Cimplies%2012%20%5Cleft%5B%5Cdfrac%7B1%7D%7B6%7D%20%5Ctan%20%286x%29%2B%5Cdfrac%7B1%7D%7B6%7D%20%5Csec%20%286x%29%20%5Cright%5D%2B%5Ctext%7BC%7D)
Simplify:


Learn more about indefinite integration here:
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Answer:
75 divided by 4... each side of the square is 18.75 inches long
Answer:
y = -x + 1
Step-by-step explanation:
We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.
When two lines are parallel, they have the same slope, so the slope is going to be -1.
New equation: y = -x + b.
Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.
-3 = -4 + b
add 4 to both sides
1 = b
This means that the equation is y = -x + 1
Answer:
1. subtract 2.difference 5.greater
Step-by-step explanation:
Because