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List of integrals of inverse trigonometric functions - Wikipedia, the free encyclopedia

List of integrals of inverse trigonometric functions

From Wikipedia, the free encyclopedia

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It has been suggested that this article or section be merged into List of integrals of arc functions. (Discuss)

Substitution or other forms of algebraic manipulation are used to arrive at integrals listed in the table.

$\int \arcsin x \,dx = x\arcsin x+ \sqrt{1-x^2}$

$\int \arccos x \,dx = x\arccos x- \sqrt{1-x^2}$

$\int \arctan x \,dx = x\arctan x- \frac{1}{2}\ln|1+x^2|$

$\int \arccsc x \,dx = x\arccsc x+ \ln\left| x+x\sqrt{{x^2-1}\over x^2}\right|$

$\int \arcsec x \,dx = x\arcsec x- \ln\left| x+x\sqrt{{x^2-1}\over x^2}\right|$

$\int \arccot x \,dx = x\arccot x+ \frac{1}{2} \ln|1+x^2|$

Lists of integrals
Rational functions • Irrational functions • Trigonometric functions • Inverse trigonometric functions • Hyperbolic functions • Arc hyperbolic functions • Exponential functions • Logarithmic functions • Arc functions

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Categories: Articles to be merged since November 2006 | Integrals | Mathematics-related lists

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