definite integral of a constant
What is the integral of 1?
The integral of 1 is x + C. i.e., ∫ 1 dx = x + C.
What is the integral of a constant?
Answer – The integral of a constant B with respect to a variable x is Bx + C, where C is an arbitrary constant.
The two constants B and c₁ can be combined and written as another arbitrary constant C.So the integral of 2 is 2x + c, where c is a constant.
A "S" shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning "with respect to x".
This is the same "dx" that appears in dy/dx .
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