The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.
<h3>How to represent Integrals?</h3>
Let us say we want to estimate the definite integral;
I = ![\int\limits^a_b {f'(x)} \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20%7Bf%27%28x%29%7D%20%5C%2C%20dx)
Now, for any C, f(x) + C is an antiderivative of f′(x).
From fundamental theorem of Calculus, we can say that;
![I = \int\limits^a_b {f'(x)} \, dx = \phi(a) - \phi(b)](https://tex.z-dn.net/?f=I%20%3D%20%5Cint%5Climits%5Ea_b%20%7Bf%27%28x%29%7D%20%5C%2C%20dx%20%20%3D%20%5Cphi%28a%29%20-%20%5Cphi%28b%29)
where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.
Read more about Integrals at; brainly.com/question/22008756
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Answer:
Slope Intercept Form: -(9/5)x-7=y
Slope: -9/5
Y intercept: -7
Answer:
It lies between 5 and 6
Step-by-step explanation:
Two consecutive numbers are numbers that come after each other:
x , x + 1 are consecutive numbers.
3 \sqrt{3} = 3√3 = 5.19615242271
Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6
Answer:
A.6:8
B.8:14
Step-by-step explanation:
To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear
the second vendor: $4.32/12 = $0.36/ear
The first vendor with the bag of 8 ears is the better deal!