List Of Integrals Of Inverse Trigonometric Functions
The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse trigonometric functions. For a complete list of integral formulas, see lists of integrals.
- The inverse trigonometric functions are also known as the "arc functions".
- C is used for the arbitrary constant of integration that can only be determined if something about the value of the integral at some point is known. Thus each function has an infinite number of antiderivatives.
- There are three common notations for inverse trigonometric functions. The arcsine function, for instance, could be written as sin−1, asin, or, as is used on this page, arcsin.
- For each inverse trigonometric integration formula below there is a corresponding formula in the list of integrals of inverse hyperbolic functions.
Read more about List Of Integrals Of Inverse Trigonometric Functions: Arcsine Function Integration Formulas, Arccosine Function Integration Formulas, Arctangent Function Integration Formulas, Arccotangent Function Integration Formulas, Arcsecant Function Integration Formulas, Arccosecant Function Integration Formulas
Famous quotes containing the words list of, list, inverse and/or functions:
“Love’s boat has been shattered against the life of everyday. You and I are quits, and it’s useless to draw up a list of mutual hurts, sorrows, and pains.”
—Vladimir Mayakovsky (1893–1930)
“Shea—they call him Scholar Jack—
Went down the list of the dead.
Officers, seamen, gunners, marines,
The crews of the gig and yawl,
The bearded man and the lad in his teens,
Carpenters, coal-passers—all.”
—Joseph I. C. Clarke (1846–1925)
“Yet time and space are but inverse measures of the force of the soul. The spirit sports with time.”
—Ralph Waldo Emerson (1803–1882)
“Adolescents, for all their self-involvement, are emerging from the self-centeredness of childhood. Their perception of other people has more depth. They are better equipped at appreciating others’ reasons for action, or the basis of others’ emotions. But this maturity functions in a piecemeal fashion. They show more understanding of their friends, but not of their teachers.”
—Terri Apter (20th century)