“To integrate” is to find a function whose derivative is given. This process is called integration or anti-differentiation.

The term

*integral*may also refer to the notion of the antiderivative, a function*F*whose derivative is the given function*f*. In this case, it is called an*indefinite integral*and is written:### Antiderivatives

**Indefinite Integrals**. If F is an antiderivative of a function f, i.e., F'(x) = f(x), then for any constant C, F(x) + C is another antiderivative of f(x). The family of all antiderivatives of

**is called indefinite integral of**

*f**and represented:*

**f**
∫ f(x) dx = F(x) + C

Example: =

### Basic Integration Formulas

(where **n ≠ −1**)

### Integrating a Sum

Each term is integrated **separately**.

### Constant Factor in the Integrand

A constant factor in the integrand can be written before the integral sign.

where c is a constant

Again,

**Indefinite Integral**is the family of functions that have a given function as a common derivative. The indefinite integral of*f*(*x*) is written: ∫*f*(*x*)*dx*.*credit: Renato E. Apa-ap, et al.©2013 www.PinoyBIX.com*

DOWNLOAD PDF / PRINT

Please do Subscribe on YouTube!

P inoyBIX educates thousands of reviewers and students a day in preparation for their board examinations. Also provides professionals with materials for their lectures and practice exams. Help me go forward with the same spirit.

“Will you subscribe today via YOUTUBE?”