Integration Review

Front

∫2x + 4 dx

Back

x² + 4x + c

Front

∫cos(4x + 5) dx

Back

¼sin(4x + 5) + C

Front

∫ from 0 to 7 f(x) dx = ?

Back

13

Front

∫ from 2 to 6 [2f(x) - 3g(x)] dx = ?

Back

26

Front

∫ from 0 to 9 f(x) dx = ? (Graph of f(x) is shown)

Back

2

Front

Definition of Integration

Back

Integration is the process of finding the integral of a function, which represents the area under the curve of that function.

Front

Fundamental Theorem of Calculus

Back

Links the concept of differentiation and integration, stating that if F is an antiderivative of f on an interval [a, b], then ∫ from a to b f(x) dx = F(b) - F(a).

Front

Indefinite Integral

Back

An integral without specified limits, representing a family of functions and includes a constant of integration (c).

Front

Definite Integral

Back

An integral with specified limits, representing the net area under the curve between those limits.

Front

Integration by Substitution

Back

A method used to simplify the integration process by substituting a part of the integral with a new variable.