Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving Inverse Trigonometric Functions

Integrals Involving Inverse Trigonometric Functions

$14.471$: Primitive of $\sin^{-1} \dfrac x a$

$14.472$: Primitive of $x \sin^{-1} \dfrac x a$

$14.473$: Primitive of $x^2 \sin^{-1} \dfrac x a$

$14.474$: Primitive of $\dfrac {\sin^{-1} \dfrac x a} x$

$14.475$: Primitive of $\dfrac {\sin^{-1} \dfrac x a} {x^2}$

$14.476$: Primitive of $\left({\sin^{-1} \dfrac x a}\right)^2$

$14.477$: Primitive of $\cos^{-1} \dfrac x a$

$14.478$: Primitive of $x \cos^{-1} \dfrac x a$

$14.479$: Primitive of $x^2 \cos^{-1} \dfrac x a$

$14.480$: Primitive of $\dfrac {\cos^{-1} \dfrac x a} x$

$14.481$: Primitive of $\dfrac {\cos^{-1} \dfrac x a} {x^2}$

$14.482$: Primitive of $\left({\cos^{-1} \dfrac x a}\right)^2$

$14.483$: Primitive of $\tan^{-1} \dfrac x a$

$14.484$: Primitive of $x \tan^{-1} \dfrac x a$

$14.485$: Primitive of $x^2 \tan^{-1} \dfrac x a$

$14.486$: Primitive of $\dfrac {\tan^{-1} \dfrac x a} x$

$14.487$: Primitive of $\dfrac {\tan^{-1} \dfrac x a} {x^2}$

$14.488$: Primitive of $\cot^{-1} \dfrac x a$

$14.489$: Primitive of $x \cot^{-1} \dfrac x a$

$14.490$: Primitive of $x^2 \cot^{-1} \dfrac x a$

$14.491$: Primitive of $\dfrac {\cot^{-1} \dfrac x a} x$

$14.492$: Primitive of $\dfrac {\cot^{-1} \dfrac x a} {x^2}$

$14.493$: Primitive of $\sec^{-1} \dfrac x a$

$14.494$: Primitive of $x \sec^{-1} \dfrac x a$

$14.495$: Primitive of $x^2 \sec^{-1} \dfrac x a$

$14.496$: Primitive of $\dfrac {\sec^{-1} \dfrac x a} x$

$14.497$: Primitive of $\dfrac {\sec^{-1} \dfrac x a} {x^2}$

$14.498$: Primitive of $\csc^{-1} \dfrac x a$

$14.499$: Primitive of $x \csc^{-1} \dfrac x a$

$14.500$: Primitive of $x^2 \csc^{-1} \dfrac x a$

$14.501$: Primitive of $\dfrac {\csc^{-1} \dfrac x a} x$

$14.502$: Primitive of $\dfrac {\csc^{-1} \dfrac x a} {x^2}$

$14.503$: Primitive of $x^m \sin^{-1} \dfrac x a$

$14.504$: Primitive of $x^m \cos^{-1} \dfrac x a$

$14.505$: Primitive of $x^m \tan^{-1} \dfrac x a$

$14.506$: Primitive of $x^m \cot^{-1} \dfrac x a$

$14.507$: Primitive of $x^m \sec^{-1} \dfrac x a$

$14.508$: Primitive of $x^m \csc^{-1} \dfrac x a$