∫ 1/cosh2(x) dx = tanh(x) + C
C is the constant of integration.
∫ cosh(x) dx = sinh(x) + C C is the constant of integration.
∫ 1/cos2(x) dx = tan(x) + C C is the constant of integration.
The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.
∫ sin(x)/cos2(x) dx = sec(x) + C C is the constant of integration.
∫ 1/cos(x) dx = ln(sec(x) + tan(x)) + C C is the constant of integration.
∫ cos(x)/sin2(x) dx = -cosec(x) + C C is the constant of integration.
An arccosh is the inverse hyperbolic cosine function.
∫ cos(x) dx = sin(x) + CC is the constant of integration.
The integral of cosine cubed is sinx- 1/3 sin cubed x + c
-cosine x
Dorcas Flannery has written: 'Mapping of the hyperbolic sine from the Z plane to the W plane and comparison with the hyperbolic cosine'
In trigonometry, where this question is categorised, it stands for hyperbolic cosine. There are several other meanings in other areas.