integral of arccosh(x)

解答

\int arccosh (x) d x

x arccosh (x) - (x - 1) (x + 1) + C

求解步骤

\int arccosh (x) d x

使用分布积分法

= x arccosh (x) - \int \frac{x}{x - 1 x + 1} d x

\int \frac{x}{x - 1 x + 1} d x = (x - 1) (x + 1)

= x arccosh (x) - (x - 1) (x + 1)

解答补常数

= x arccosh (x) - (x - 1) (x + 1) + C

d er i v a t i v e y = cos (x^{2}) 2 x

n = 1 \sum \infty \frac{( e ^{\frac{8}{n}} )}{n}

\frac{d}{d x} ((\frac{x - 7}{x - 9})^{4})

\int \frac{ln ( 20 x )}{x} d x

\frac{d}{d y} (- e^{y})