Term-by-term Integration

Definition

Term-by-term integration refers to integrating each term in a series individually. It allows us to integrate each term separately without affecting the other terms.

Related terms

Constant of Integration:

When we integrate a function, there is always an arbitrary constant added at the end because derivatives lose information about constants. This constant is known as the constant of integration.

Definite Integral:

A definite integral represents finding the exact area under a curve between two specific points. It gives us a numerical value as the result.

U-Substitution:

U-substitution is a technique used to simplify integrals by making a substitution with a new variable. It helps transform complex integrals into simpler ones that are easier to solve.