Question

Why Is Integration Antiderivative?

Answer 1

Derivative: A function's rate of change with respect to a variable is called the derivative.

Integration: The term "integration" refers to the process of bringing disparate parts together to form a whole. Integration is used to determine a function whose differential is known.

Integration is the opposite procedure of the derivative.
Let us take an example
Let $y=\sin x$

Then derivative of $y=\frac{d}{dx}\left(y\right)$

$$\begin{gathered} =\frac{d}{dx}\left(\sin x\right) \\ =\cos x \end{gathered}$$

And, integration of $\cos x$

$\int \cos xdx=\sin x+c$, where $c$ is the constant of integration, and $c=0$ if the main function does not have any constant term.