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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 =
Now, for any C, f(x) + C is an antiderivative of f′(x).
From fundamental theorem of Calculus, we can say that;
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.
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Answer:
6.3
Step-by-step explanation:
First off, we need the distance formula, which is:
If we plug in the points, we get:
If we simplify everything under the square root, we get:
In decimal, the answer is 6.3