What is integral of dy?

The integral of dy, often written as ∫ dy, represents finding the antiderivative with respect to the variable y. In simpler terms, it asks: "What function, when differentiated with respect to y, gives us 1?"

The answer is:

∫ dy = y + C

where:

• y is the variable of integration.
• C is the constant of integration. This is crucial because the derivative of a constant is always zero. Therefore, any constant value could be added to y without changing the derivative. The indefinite integral always includes this constant.

Here are some more concepts that are related with the integral of dy:

• Antiderivative
• Definite Integral: If you have limits of integration (e.g., ∫_a^b dy), then you evaluate the antiderivative at the upper and lower limits and subtract: [y]<sub>a</sub><sup>b</sup> = b - a. The constant of integration cancels out in definite integrals.
• Integration Rules