Primitives of circular functions reciprocal

This article gives the Primitive S of the reciprocal functions of the circular functions.

$\ int \ operatorname {Arcsin} \, \ frac {X} {has} \, dx=x \ operatorname {Arcsin} \, \ frac {X} {has} + \ sqrt {a^2-x^2} +C$

\ int \ operatorname {Arccos} \, \ frac {X} {has} \, dx=x \ operatorname {Arccos} \, \ frac {X} {has} - \ sqrt {a^2-x^2} +C

\ int \ operatorname {Arctan} \, \ frac {X} {has} \, dx=x \ operatorname {Arctan} \, \frac {X} {has} - \ frac {has} {2} \ ln (a^2+x^2) +C

\ int \ operatorname {Arccotan} \, \ frac {X} {has} \, dx=x \ operatorname {Arccotan} \, \ frac {X} {has} + \ frac {has} {2} \ ln (a^2+x^2) +C

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