Rules of Integration for Indefinite Integral

In order to simplify the task of finding integrals, some general rules by anti-differentiation are used for finding indefinite integrals.

Indefinite Integral Properties

Some useful properties of indefinite integrals

1. Indefinite integral as anti-derivative

   

   Proof:

   

2. Constant Multiple Rule of indefinite integral

   

   Proof:

   

3. Constant Multiple Rule of Identity function of indefinite integral

   

   Proof:

   

4. Constant Rule of zero function of indefinite integral

   

   Proof:

   

5. Sum of Functions Rule of indefinite integral

   

   Proof:

   

6. Difference of Functions Rule of indefinite integral

   

   Proof:

   

7. Product of Standard Functions Rule of indefinite integral

   

   Proof:

   

8. Quotient of Standard Functions Rule of indefinite integral

   

   Proof: