Review Exam 2

These flashcards cover key concepts related to integration methods and trigonometric identities that are necessary for the exam.

Integration by Parts

A mathematical technique used to integrate products of functions, typically following the formula ∫udv = uv - ∫vdu.

Trigonometric Integration

The process of integrating functions that include trigonometric terms, often using identities to simplify the integral.

Substitution Method

A technique for evaluating integrals by replacing a variable with another variable, simplifying the integration process.

Definite Integral

An integral evaluated over a specific interval, producing a numerical result.

Indefinite Integral

An integral that represents a family of functions and includes a constant of integration, denoted with +C.

Secant Function

A trigonometric function defined as the reciprocal of the cosine function, sec(x) = 1/cos(x).

Cosine Function

A fundamental trigonometric function defined as the ratio of the adjacent side to the hypotenuse in a right triangle, cos(x).

Sine Function

A fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle, sin(x).

Exponential Function

A mathematical function of the form e^x, where e is the base of the natural logarithm.

Polynomial Division

A method for dividing a polynomial by another polynomial, often yielding a remainder and a quotient.