Tablas Matemáticas de David: Integral sin, cos, sec^2, -csc cot, sec tan, -csc^2
(Matemática | Cálculo | Integrales | Tabla de | ResultadoTrig)

Deriving (integral)sin(x), (integral)cos(x), (integral)sec^2(x), (integral)-csc(x)cot(x), (integral)sec(x)tan(x), (integral)-csc^2(x) : Desde las derivadas

Dando: (d/dx) sin(x) = cos(x), (d/dx) cos(x) = -sin(x), (d/dx) tan(x) = sec^2(x),

(d/dx) csc(x) = -csc(x)cot(x), (d/dx) sec(x) = sec(x)tan(x), (d/dx) cot(x) = -csc^2(x).

Use el Teorema Fundamental de Cálculo:

cos(x) = (d/dx) sin(x), (integral)cos(x) dx = sin(x) + c
-sin(x) = (d/dx) cos(x), (integral)sin(x) dx = -cos(x) + c
sec^2(x) = (d/dx) tan(x), (integral)sec^2(x) dx = tan(x) + c
-csc(x)cot(x) = (d/dx) csc(x), (integral)csc(x)cot(x) dx = -csc(x) + c
sec(x)tan(x) = (d/dx) sec(x), (integral)sec(x)tan(x) dx = sec(x) + c
-csc^2(x) = (d/dx) cot(x), (integral)csc^2(x) dx = -cot(x) + c