What is the integral from 0 to pi/6 of ln(sec(x)) ?

The integral from 0 to pi/6 of ln(sec(x)) is 0.02461…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi/6 of ln(sec(x))

\int_{0}^{\frac{π}{6}} ln (sec (x)) d x

0.02461 \dots

Solution steps

\int_{0}^{\frac{π}{6}} ln (sec (x)) d x

Evaluating using numerical calculation methods

= 0.02461 \dots

l a pl a ce t r an s f or m f (t) = t^{3}

d er i v a t i v e \frac{q x + r}{s x + t}

\frac{d}{d x} (ln (x) - sin (x))

d er i v a t i v e \frac{x ^{3} + 6 x}{3}

g (x) = 3 x - 2 + \frac{1}{x} - \frac{1}{x ^{2}}

What is the integral from 0 to pi/6 of ln(sec(x)) ?
The integral from 0 to pi/6 of ln(sec(x)) is 0.02461…