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2. List of integrals of inverse trigonometric functions - Wikipedia

   en.wikipedia.org/wiki/List_of_integrals_of...

   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 ...

3. Inverse trigonometric functions - Wikipedia

   en.wikipedia.org/.../Inverse_trigonometric_functions

   The following table shows how inverse trigonometric functions may be used to solve equalities involving the six standard trigonometric functions. It is assumed that the given values θ , {\displaystyle \theta ,} r , {\displaystyle r,} s , {\displaystyle s,} x , {\displaystyle x,} and y {\displaystyle y} all lie within appropriate ranges so that ...

4. List of integrals of trigonometric functions - Wikipedia

   en.wikipedia.org/wiki/List_of_integrals_of...

   Generally, if the function ⁡ is any trigonometric function, and ⁡ is its derivative, ∫ a cos ⁡ n x d x = a n sin ⁡ n x + C {\displaystyle \int a\cos nx\,dx={\frac {a}{n}}\sin nx+C} In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration .

5. List of integrals of inverse hyperbolic functions - Wikipedia

   en.wikipedia.org/wiki/List_of_integrals_of...

   For a complete list of integral formulas, see lists of integrals. In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration. For each inverse hyperbolic integration formula below there is a corresponding formula in the list of integrals of inverse trigonometric functions. The ISO 80000-2 standard uses ...

6. Category:Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Category:Lists_of_integrals

   Download as PDF; Printable version; In other projects ... List of integrals of inverse hyperbolic functions; ... List of integrals of trigonometric functions This ...

7. Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Lists_of_integrals

   A. Dieckmann, Table of Integrals (Elliptic Functions, Square Roots, Inverse Tangents and More Exotic Functions): Indefinite Integrals Definite Integrals; Math Major: A Table of Integrals; O'Brien, Francis J. Jr. "500 Integrals of Elementary and Special Functions". Derived integrals of exponential, logarithmic functions and special functions.

8. Integral of inverse functions - Wikipedia

   en.wikipedia.org/wiki/Integral_of_inverse_functions

   His second proof was geometric. If () = and () =, the theorem can be written: + =.The figure on the right is a proof without words of this formula. Laisant does not discuss the hypotheses necessary to make this proof rigorous, but this can be proved if is just assumed to be strictly monotone (but not necessarily continuous, let alone differentiable).

9. List of trigonometric identities - Wikipedia

   en.wikipedia.org/wiki/List_of_trigonometric...

   A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.