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

Integrals Involving $\cos a x$

$14.369$: Primitive of $\cos a x$

$14.370$: Primitive of $x \cos a x$

$14.371$: Primitive of $x^2 \cos a x$

$14.372$: Primitive of $x^3 \cos a x$

$14.373$: Primitive of $\dfrac {\cos a x} x$

$14.374$: Primitive of $\dfrac {\cos a x} {x^2}$

$14.375$: Primitive of $\dfrac 1 {\cos a x}$

$14.376$: Primitive of $\dfrac x {\cos a x}$

$14.377$: Primitive of $\cos^2 a x$

$14.378$: Primitive of $x \cos^2 a x$

$14.379$: Primitive of $\cos^3 a x$

$14.380$: Primitive of $\cos^4 a x$

$14.381$: Primitive of $\dfrac 1 {\cos^2 a x}$

$14.382$: Primitive of $\dfrac 1 {\cos^3 a x}$

$14.383$: Primitive of $\cos a x \cos p x$

[If $a = \pm p$, see $14.377$: Primitive of $\cos^2 a x$.]

$14.384$: Primitive of $\dfrac 1 {1 - \cos a x}$

$14.385$: Primitive of $\dfrac x {1 - \cos a x}$

$14.386$: Primitive of $\dfrac 1 {1 + \cos a x}$

$14.387$: Primitive of $\dfrac x {1 + \cos a x}$

$14.388$: Primitive of $\dfrac 1 {\left({1 - \cos a x}\right)^2}$

$14.389$: Primitive of $\dfrac 1 {\left({1 + \cos a x}\right)^2}$

$14.390$: Primitive of $\dfrac 1 {p + q \cos a x}$

[If $p = \pm q$, see $14.384$: Primitive of $\dfrac 1 {1 - \cos a x}$ and $14.386$: Primitive of $\dfrac 1 {1 + \cos a x}$.]

$14.391$: Primitive of $\dfrac 1 {\left({p + q \cos a x}\right)^2}$

[If $p = \pm q$, see $14.388$: Primitive of $\dfrac 1 {\left({1 - \cos a x}\right)^2}$ and $14.389$: Primitive of $\dfrac 1 {\left({1 + \cos a x}\right)^2}$.]

$14.392$: Primitive of $\dfrac 1 {p^2 + q^2 \cos^2 a x}$

$14.393$: Primitive of $\dfrac 1 {p^2 - q^2 \cos^2 a x}$

$14.394$: Primitive of $x^m \cos a x$

$14.395$: Primitive of $\dfrac {\cos a x} {x^n}$

$14.396$: Primitive of $\cos^n a x$

$14.397$: Primitive of $\dfrac 1 {\cos^n a x}$

$14.398$: Primitive of $\dfrac x {\cos^n a x}$