Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving Sine of a x

Integrals Involving $\sin a x$

$14.339$: Primitive of $\sin a x$

$14.340$: Primitive of $x \sin a x$

$14.341$: Primitive of $x^2 \sin a x$

$14.342$: Primitive of $x^3 \sin a x$

$14.343$: Primitive of $\dfrac {\sin a x} x$

$14.344$: Primitive of $\dfrac {\sin a x} {x^2}$

$14.345$: Primitive of $\dfrac 1 {\sin a x}$

$14.346$: Primitive of $\dfrac x {\sin a x}$

$14.347$: Primitive of $\sin^2 a x$

$14.348$: Primitive of $x \sin^2 a x$

$14.349$: Primitive of $\sin^3 a x$

$14.350$: Primitive of $\sin^4 a x$

$14.351$: Primitive of $\dfrac 1 {\sin^2 a x}$

$14.352$: Primitive of $\dfrac 1 {\sin^3 a x}$

$14.353$: Primitive of $\sin p x \sin q x$

[If $p = \pm q$, see $14.347$: Primitive of $\sin^2 a x$.]

$14.354$: Primitive of $\dfrac 1 {1 - \sin a x}$

$14.355$: Primitive of $\dfrac x {1 - \sin a x}$

$14.356$: Primitive of $\dfrac 1 {1 + \sin a x}$

$14.357$: Primitive of $\dfrac x {1 + \sin a x}$

$14.358$: Primitive of $\dfrac 1 {\left({1 - \sin a x}\right)^2}$

$14.359$: Primitive of $\dfrac 1 {\left({1 + \sin a x}\right)^2}$

$14.360$: Primitive of $\dfrac 1 {p + q \sin a x}$

[If $p = \pm q$, see $14.354$: Primitive of $\dfrac 1 {1 - \sin a x}$ and $14.356$: Primitive of $\dfrac 1 {1 + \sin a x}$.]

$14.361$: Primitive of $\dfrac 1 {\left({p + q \sin a x}\right)^2}$

[If $p = \pm q$, see $14.358$: Primitive of $\dfrac 1 {\left({1 - \sin a x}\right)^2}$ and $14.359$: Primitive of $\dfrac 1 {\left({1 + \sin a x}\right)^2}$.]

$14.362$: Primitive of $\dfrac 1 {p^2 + q^2 \sin^2 a x}$

$14.363$: Primitive of $\dfrac 1 {p^2 - q^2 \sin^2 a x}$

$14.364$: Primitive of $x^m \sin a x$

$14.365$: Primitive of $\dfrac {\sin a x} {x^n}$

$14.366$: Primitive of $\sin^n a x$

$14.367$: Primitive of $\dfrac 1 {\sin^n a x}$

$14.368$: Primitive of $\dfrac x {\sin^n a x}$

Errata

The note attached to result $14.353$: Primitive of $\sin p x \sin q x$ suggests:

[If $p = \pm q$, see $14.368$: Primitive of $\dfrac x {\sin^n a x}$]

which is incorrect.