What is the integral from 0 to pi/3 of cos(x) ?

The integral from 0 to pi/3 of cos(x) is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi/3 of cos(x)

\int_{0}^{\frac{π}{3}} cos (x) d x

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

\int_{0}^{\frac{π}{3}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

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