The Basics of Integrating a Constant: A Step-by-Step Guide with Examples

∫ 0 dx

The integral of a constant with respect to x is given by the formula:

∫ c dx = cx + C,

where c is a constant and C is the constant of integration

The integral of a constant with respect to x is given by the formula:

∫ c dx = cx + C,

where c is a constant and C is the constant of integration.

In this case, the integral is:

∫ 0 dx = 0x + C,

Since the integral of a constant is equal to the constant times x, the integral of 0 is also 0. Therefore, the result is:

∫ 0 dx = C,

where C is the constant of integration.

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