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

The integral from pi/3 to pi/2 of cos(x) is 1-(sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from pi/3 to pi/2 of cos(x)

\int_{\frac{π}{3}}^{\frac{π}{2}} cos (x) d x

1 - \frac{3}{2}

Decimal

0.13397 \dots

Solution steps

\int_{\frac{π}{3}}^{\frac{π}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{3}}^{\frac{π}{2}}

Compute the boundaries:

1 - \frac{3}{2}

= 1 - \frac{3}{2}

What is the integral from pi/3 to pi/2 of cos(x) ?
The integral from pi/3 to pi/2 of cos(x) is 1-(sqrt(3))/2