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Important Notes on Integral of 1: The integral of 1 is x + C. i.e., ? 1 dx = x + C. Hence, the integral of any constant is, ? a dx = a ? 1 dx = ax + C.

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.

Integration is the reverse of differentiation. So the integral of 2 can be 2x + 3, 2x + 5, 2x, etc. For this reason, when we integrate, we have to add a constant. So the integral of 2 is 2x + c, where c is a constant.

Calculus - Integration Basics (1 of 5) Integrating a Constant - YouTube YouTube Start of suggested clip End of suggested clip Plus a times c1. And you can just combine these two since both of these are constants you couldMorePlus a times c1. And you can just combine these two since both of these are constants you could write this as ax. Plus C. And that's the integral form of the constant.

Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is ? f'(x) dx = f(x) + C. Using this, the following integration formulas are derived.

We know that ? 0 dx = C. If we take 'a' to be its lower bound and 'b' to be its upper bound, then ??b 0 dx = C - C = 0. So the value of integral of zero with any bounds is 0.

Answer: The answer is 4x + C. Explanation: i) In mathematics, integration maps numbers to functions in a way that describes other concepts such as displacements, areas, volumes, etc.

To start with, we have, the integral of 0 is C, because the derivative of C is zero. C represents some constant. Also, it makes sense logically. Think about it like this: the derivative of the function is the function's slope, because any function f(x) = C will have a slope of zero at point on the function.