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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\int_{π}^{\frac{π}{2}} cos (x) d x

1

Solution steps

\int_{π}^{\frac{π}{2}} cos (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Use the common integral:

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

= - [sin (x)]_{\frac{π}{2}}^{π}

Compute the boundaries:

- 1

= - (- 1)

Simplify

= 1

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