Tabla de integrales
Función | Integral |
---|---|
y = c | c·x |
y = c·x | c·x²/2 |
y = xⁿ | x(n + 1)/(n + 1) |
y = x⁻ⁿ | -x⁻(n + 1)/(n + 1) |
y = x½ | x3/2/(3/2) |
y = xa/b | x(a/b + 1)/(a/b + 1) |
y = 1/x | log x |
y = sen x | -cos x |
y = cos x | sen x |
y = tg x | -log (cos x) |
y = cotg x | log sen x |
y = sec x | log (tg x/2) |
y = cosec x | log [cos x/(1 - sen x)] |
y = arcsen x | 1/√1 - x² |
y = arccos x | -1/√1 - x² |
y = arctg x | -[log (1 + x²)]/2 |
y = arccotg x | [log (1 + x²)]/2 |
y = sh x | ch x |
y = ch x | sh x |
y = th x | log ch x |
y = coth x | log sh x |
y = log x | x·(log x - 1) |
y = logₐ x | x·(logₐ x - 1/log a) |
y = eˣ | eˣ |
y = aˣ | aˣ/log a |
y = u·v | ∫ u·dv + ∫ v·du |
Autor: Ricardo Santiago Netto. Argentina
¿Qué es la función primitiva en cálculo integral?