A mathematical science that helps us to calculate the integral of a function without defining its interval is called the indefinite integral calculus.

The concept of calculating the indefinite integral of a function can be understood in calculus by constructing a graph geometrically.

Let $f(x)$ be a mathematical function in terms of $x$. Construct a graph by representing the values of $x$ on the horizontal axis and the values of the function on the vertical axis. The area under the curve is denoted by sea-blue color (or colour).

In order to find the area under the curve, split the whole area into infinitely small equal parts. Now, consider a small part, which is denoted by a differential $dx$.

$\displaystyle \int{f(x)\,}dx$

The list of the indefinite integration formulas with mathematical proofs.

The list of indefinite integration questions with step by step procedure to learn how to find the indefinite integration of a function by using the integral rules.

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