If the derivative of a constant is 0, then what

Liesehf 2021-11-23 Answered
If the derivative of a constant is 0, then what is the integral of a constant?
For example, what is the integral of 0?

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Expert Answer

Zachary Pickett
Answered 2021-11-24 Author has 855 answers
The integral of a constant B with respect to x is Bx+A, where A is constant. Applying this rule to the constant function y(x)=0, \(\displaystyle{\int_{{{a}}}^{{{b}}}}{0}{\left.{d}{x}\right.}={0}+{A}={A}\).
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Florence Pittman
Answered 2021-11-25 Author has 1185 answers
If F is an antiderivative of f (F′=f), then \(\displaystyle{\int_{{{a}}}^{{{b}}}}{f}={F}+{C}\).
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