What is the integral from 0 to pi/6 of 6sec^2(x) ?

The integral from 0 to pi/6 of 6sec^2(x) is 2sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi/6 of 6sec^2(x)

\int_{0}^{\frac{π}{6}} 6 sec^{2} (x) d x

23

Decimal

3.46410 \dots

Solution steps

\int_{0}^{\frac{π}{6}} 6 sec^{2} (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int_{0}^{\frac{π}{6}} sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 6 [tan (x)]_{0}^{\frac{π}{6}}

Compute the boundaries:

\frac{1}{3}

= 6 \cdot \frac{1}{3}

Simplify

= 23

\frac{d}{d x} (sin (7 x) + cos (6 x))

\frac{d x}{d t} = \frac{3}{x e ^{t + 3 x}}

\frac{\partial}{\partial x} (\frac{( x ^{2} )}{y ^{2} + 1})

f^{^{'}} (x) = 3 (1 - 2 x)^{2}

x \to 4 lim (\frac{x}{x ^{2} - 15})

What is the integral from 0 to pi/6 of 6sec^2(x) ?
The integral from 0 to pi/6 of 6sec^2(x) is 2sqrt(3)