Question

Evaluate the indefinite integrals: $$ \int 2 d x $$

   Evaluate the indefinite integrals:
$$
\int 2 d x
$$

The Chemistry Maths Book

The Chemistry Maths Book

Erich Steiner 2nd Edition

Chapter 5, Problem 1

Instant Answer

Solved by Expert John Nicolle

12/28/2021

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Here, 2 is a constant and dx is the differential of x. Show more…

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Evaluate the indefinite integrals: $$ \int 2 d x $$

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Key Concepts

Constant of Integration

The constant of integration, typically denoted as C, is added to the antiderivative because the derivative of a constant is zero, ensuring that all functions that differ only by a constant are considered valid antiderivatives of the original function.

Indefinite Integral

An indefinite integral represents the antiderivative of a function, providing a family of functions that differ by an arbitrary constant. It is the reverse process of differentiation, and every indefinite integral includes a constant of integration because the derivative of a constant is zero.

Constant Function Integration

When integrating a constant function, the process is straightforward: the result is the constant multiplied by the variable of integration. This method derives from the fact that differentiating this multiplication yields the original constant.

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